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---
abstract: |
Achieving carbon neutrality is probably one of the most important challenges of the 21st century for our societies. Part of the solution to this challenge is to leverage renewable energies. However, these energy sources are often located far away from places that need the energy, and their availabilit... | arxiv_math | {
"id": "2310.01964",
"title": "Synthetic methane for closing the carbon loop: Comparative study of\n three carbon sources for remote carbon-neutral fuel synthetization",
"authors": "Micha\\\"el Fonder, Pierre Counotte, Victor Dachet, Jehan de\n S\\'ejournet, Damien Ernst",
"categories": "math.OC",
"license... |
---
abstract: |
We consider group actions on compact median algebras. We show that, given a generating probability measure $\mu$ on the acting group and under suitable conditions on the median algebra, it could be realized in a unique way as a $\mu$-boundary in the sense of Furstenberg. Along the way, we prove some s... | arxiv_math | {
"id": "2310.02024",
"title": "Compact Median Algebras are $\\mu$-Boundaries in a unique way",
"authors": "Uri Bader and Aviv Taller",
"categories": "math.GR math.GN math.PR",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We analyse the solutions of networked heterogeneous nonlinear systems[^1] $$\label{120}
\dot x_i = f_i(x_i) + u_i \qquad x_i \in \mathbb{R}, \quad i \in \{1,2,\cdots,n\},$$ where $f_i : \mathbb{R} \rightarrow \mathbb{R}$ is continuous for all $i \in \{1,2,\cdots, n\}$ and the control inputs are se... | arxiv_math | {
"id": "2309.12480",
"title": "Global Uniform Ultimate Boundedness of Semi-Passive Systems\n Interconnected over Directed Graphs",
"authors": "Anes Lazri and Mohamed Maghenem and Elena Panteley and Antonio Loria",
"categories": "math.OC",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
The classical Erdős--Lax inequality states that if $P$ is a polynomial of degree $n$ which is zero free on $\{|z|<1\}$ then $\|P'\|\leq \frac{n}{2}\|P\|$ where the norm is taken as supremum norm on the unit circle. Equality holds if and only if all zeros of $P$ are situated on the unit circle. In the ... | arxiv_math | {
"id": "2309.02047",
"title": "Erd\\H{o}s-Lax estimates for rational powers of polynomials",
"authors": "Alex Bergman and Olof Rubin",
"categories": "math.CV math.CA",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
The intersection graph of ideals associated with a commutative unitary ring $R$ is the graph $G(R)$ whose vertices all non-trivial ideals of $R$ and there exists an edge between distinct vertices if and only if the intersection of them is non-zero. In this paper, the structure of the resolving graph o... | arxiv_math | {
"id": "2309.13284",
"title": "Strong resolving graph of the intersection graph in commutative rings",
"authors": "E. Dodongeh, A. Moussavi, R. Nikandish",
"categories": "math.CO",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
Let $(\Gamma,+,F)$ be a finitely generated ${\mathbb Z}[F]$-module where $F$ is an injective endomorphism of the abelian group $\Gamma$. We restrict ourselves to a finite automa presentable subclass, introduced by J. Bell and R. Moosa [@BM] and define an expansion containing the ${\mathcal F}$-sets de... | arxiv_math | {
"id": "2309.00392",
"title": "A decidable expansion of $(\\Gamma,+,F)$ with the independence property",
"authors": "Fran\\c{c}oise Point",
"categories": "math.LO",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
The primary tool for analysing groups acting on trees is Bass--Serre Theory. It is comprised of two parts: a decomposition result, in which an action is decomposed via a graph of groups, and a construction result, in which graphs of groups are used to build examples of groups acting on trees. The usef... | arxiv_math | {
"id": "2309.05065",
"title": "An introduction to the local-to-global behaviour of groups acting on\n trees and the theory of local action diagrams",
"authors": "Colin D. Reid and Simon M. Smith",
"categories": "math.GR",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
An interesting question in the field of martingale optimal transport, is to determine the martingale with prescribed initial and terminal marginals which is most correlated to Brownian motion. Under a necessary and sufficient irreducibility condition, the answer to this question is given by a *Bass ma... | arxiv_math | {
"id": "2309.11181",
"title": "The Bass functional of martingale transport",
"authors": "Julio Backhoff-Veraguas and Walter Schachermayer and Bertram\n Tschiderer",
"categories": "math.PR",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We present a new example for the Lavrentiev phenomenon in context of nonlinear elasticity, caused by an interplay of the elastic energy's resistance to infinite compression and the Ciarlet--Nečas condition, a constraint preventing global interpenetration of matter on sets of full measure.
address:
- U... | arxiv_math | {
"id": "2309.08288",
"title": "A new example for the Lavrentiev phenomenon in Nonlinear Elasticity",
"authors": "Stefano Almi, Stefan Kr\\\"omer, Anastasia Molchanova",
"categories": "math.AP math.FA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
The notion of naı̈ve lifting of DG modules was introduced by the authors in [@NOY; @NOY1] for the purpose of studying problems in homological commutative algebra that involve self-vanishing of Ext. Our goal in this paper is to deeply study the naı̈ve lifting property using the tensor algebra of the sh... | arxiv_math | {
"id": "2309.05293",
"title": "Diagonal tensor algebra and naive liftings",
"authors": "Saeed Nasseh, Maiko Ono, Yuji Yoshino",
"categories": "math.AC",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We study the formation of singularities for the curvature flow of networks when the initial data is symmetric with respect to a pair of perpendicular axes and has two triple junctions. We show that, in this case, the set of singular times is finite.
address:
- Dipartimento di Matematica, Università di... | arxiv_math | {
"id": "2310.02890",
"title": "Singularities of the network flow with symmetric initial data",
"authors": "Matteo Novaga, Luciano Sciaraffia",
"categories": "math.AP math.DG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We discuss an approach towards the Hopf problem for aspherical smooth projective varieties recently proposed by Liu, Maxim, and Wang in [@LMW17b]. In complex dimension two, we point out that this circle of ideas suggests an intriguing conjecture regarding the geography of aspherical surfaces of genera... | arxiv_math | {
"id": "2310.03129",
"title": "On the Hopf Problem and a Conjecture of Liu-Maxim-Wang",
"authors": "Luca F. Di Cerbo, Rita Pardini",
"categories": "math.AG math.DG math.GT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We examine the problem of Bragg-edge elastic strain tomography from energy resolved neutron transmission imaging. A new approach is developed for two-dimensional plane-stress and plane-strain systems whereby elastic strain can be reconstructed from its Longitudinal Ray Transform (LRT) as two parts of ... | arxiv_math | {
"id": "2309.02440",
"title": "Direct inversion of the Longitudinal Ray Transform for 2D residual\n elastic strain fields",
"authors": "CM Wensrich and S Holman and M Courdurier and WRB Lionheart and A\n Polyalova and I Svetov",
"categories": "math.NA cs.NA",
"license": "http://creativecommons.org/licenses... |
---
abstract: |
This paper mainly concerns the frequency-preserving Kolmogorov-Arnold-Moser (KAM) theorem via irregular continuity with respect to the parameter. Instead of digging out domains or requiring the uniform weak convexity for the frequency mapping, we introduce the concept of relative singularity, allowing... | arxiv_math | {
"id": "2309.11797",
"title": "A sharp frequency-preserving KAM theorem with continuous dependence on\n parameters and several counterexamples",
"authors": "Zhicheng Tong and Yong Li",
"categories": "math.DS",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
author:
-
-
bibliography:
- sn-bibliography.bib
title: Goldstein Stationarity in Lipschitz Constrained Optimization
---
# Introduction
This work considers a quite general family of constrained optimization problems where both the objective and constraint functions may be nonconvex and nonsmooth. The only struct... | arxiv_math | {
"id": "2310.03690",
"title": "Goldstein Stationarity in Lipschitz Constrained Optimization",
"authors": "Benjamin Grimmer, Zhichao Jia",
"categories": "math.OC",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We study one specific version of the contact process on a graph. Here, we allow multiple infections carried by the nodes and include a probability of removing nodes in a graph. The removal probability is purely determined by the number of infections the node carries at the moment when it gets another ... | arxiv_math | {
"id": "2309.11031",
"title": "A Model for the Multi-Virus Contact Process",
"authors": "Xu Huang",
"categories": "math.PR",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
A result of Honda, Kazez, and Matić states that a contact structure is tight if and only if all its supporting open books are right-veering. We show a combinatorial way of detecting the left-veering arcs in open books, implying the existence of an algorithm that detects the right-veering property for ... | arxiv_math | {
"id": "2310.02210",
"title": "Detecting right-veering diffeomorphisms",
"authors": "Miguel Orbegozo Rodriguez",
"categories": "math.GT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We show that for every $k\ge 3$ there exist complex algebraic cones of dimension $k$ with isolated singularities, which are bi-Lipschitz and semi-algebraically equivalent but they have different degrees. We also prove that homeomorphic projective hypersurfaces with dimension greater than 2 have the sa... | arxiv_math | {
"id": "2309.07078",
"title": "Bi-Lipschitz equivalent cones with different degrees",
"authors": "Alexandre Fernandes, Zbigniew Jelonek and Jos\\'e Edson Sampaio",
"categories": "math.AG math.CV math.MG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
A new notion of face relative interior for convex sets in topological real vector spaces is introduced in this work. Face relative interior is grounded in the facial structure, and may capture the geometry of convex sets in topological vector spaces better than other generalisations of relative interi... | arxiv_math | {
"id": "2309.06699",
"title": "Face relative interior of convex sets in topological vector spaces",
"authors": "Reinier D\\'iaz Mill \\'an, Vera Roshchina",
"categories": "math.OC math.GN",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this paper, we study the nearly Gorenstein projective closure of numerical semigroups. We also studied the nealy Gorenstein property of associated graded ring of simplicial affine semigroups. In addition, in case of gluing of numerical semigroups, we answer the question posed by Herzog-Hibi-Stamate... | arxiv_math | {
"id": "2310.00619",
"title": "On Nearly Gorenstein Simplicial Semigroup Algebras",
"authors": "Pranjal Srivastava",
"categories": "math.AC",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
The spectral clustering algorithm is often used as a binary clustering method for unclassified data by applying the principal component analysis. To study theoretical properties of the algorithm, the assumption of homoscedasticity is often supposed in existing studies. However, this assumption is rest... | arxiv_math | {
"id": "2309.06264",
"title": "Spectral clustering algorithm for the allometric extension model",
"authors": "Kohei Kawamoto, Yuichi Goto, Koji Tsukuda",
"categories": "math.ST stat.ME stat.TH",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We consider stochastic forced Navier--Stokes equations on $\mathbb R^{3}$ starting from zero initial condition. The noise is linear multiplicative and the equations are perturbed by an additional body force. Based on the ideas of Albritton, Brué and Colombo [@ABC22], we prove non-uniqueness of local-i... | arxiv_math | {
"id": "2309.03668",
"title": "Non-uniqueness of Leray-Hopf solutions for stochastic forced\n Navier-Stokes equations",
"authors": "Martina Hofmanov\\'a, Rongchan Zhu, Xiangchan Zhu",
"categories": "math.PR math.AP",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
Asymptotic behavior of the point process of high and medium values of a Gaussian stationary process with discrete time is considered. An approximation by a Poisson cluster point process is given for the point process.
author:
- "Vladimir I. Piterbarg[^1]"
title: Poisson limit theorem for the number of... | arxiv_math | {
"id": "2309.00925",
"title": "Poisson limit theorem for the number of excursions above high and medium\n levels by Gaussian stationary sequences",
"authors": "Vladimir I. Piterbarg",
"categories": "math.PR",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We prove a quantitative convergence result of the nonlocal Allen--Cahn equation to volume-preserving mean curvature flow. The proof uses gradient flow calibrations and the relative entropy method, which has been used in the recent literature to prove weak-strong uniqueness results for mean curvature f... | arxiv_math | {
"id": "2309.12409",
"title": "Quantitative convergence of the nonlocal Allen--Cahn equation to\n volume-preserving mean curvature flow",
"authors": "Milan Kroemer and Tim Laux",
"categories": "math.AP",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We prove the following. Let $\mu_{1},\ldots,\mu_{n}$ be Borel probability measures on $[-1,1]$ such that $\mu_{j}$ has finite $s_j$-energy for certain indices $s_{j} \in (0,1]$ with $s_{1} + \ldots + s_{n} > 1$. Then, the multiplicative convolution of the measures $\mu_{1},\ldots,\mu_{n}$ has power Fo... | arxiv_math | {
"id": "2309.03068",
"title": "On the Fourier decay of multiplicative convolutions",
"authors": "Tuomas Orponen, Nicolas de Saxc\\'e, Pablo Shmerkin",
"categories": "math.CA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this work, it is shown that there is a continuous function $\mu:[0,1] \longrightarrow \mathbb{C}$ such that $\mathsf{P}^\mathsf{I}(\mu(\alpha)) = 0$, $\forall \alpha \in [0,1]$, where $\mathsf{P}^\mathsf{I}$ is a Type I reduced Ito polynomial. In addition, demonstrations are given for basic propert... | arxiv_math | {
"id": "2309.03849",
"title": "Demystifying the Karpelevi{\\v{c}} theorem",
"authors": "Devon N. Munger and Andrew L. Nickerson and Pietro Paparella",
"categories": "math.SP math.CV",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
Virtual constraints are relations imposed on a control system that become invariant via feedback control, as opposed to physical constraints acting on the system. Nonholonomic systems are mechanical systems with non-integrable constraints on the velocities. In this work, we introduce the notion of *vi... | arxiv_math | {
"id": "2310.01849",
"title": "On the Geometry of Virtual Nonlinear Nonholonomic Constraints",
"authors": "Efstratios Stratoglou, Alexandre Anahory Simoes, Anthony Bloch and\n Leonardo J. Colombo",
"categories": "math.OC cs.SY eess.SY math-ph math.MP",
"license": "http://creativecommons.org/licenses/by/4.0/... |
---
abstract: |
We construct a linear system on a general curve in a totally geodesic subvariety of the moduli space of curves. As a consequence, we obtain rank bounds for totally geodesic subvarieties of dimension at least two. Furthermore, we classify totally geodesic subvarieties of dimension at least two in strat... | arxiv_math | {
"id": "2310.05345",
"title": "Totally geodesic subvarieties of the moduli space of curves and linear\n systems",
"authors": "Frederik Benirschke",
"categories": "math.AG math.DS",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
*In 1973, Katok constructed a non-degenerate (also called bumpy) Finsler metric on $S^3$ with exactly four prime closed geodesics. And then Anosov conjectured that four should be the optimal lower bound of the number of prime closed geodesics on every Finsler $S^3$. In this paper, we proved this conje... | arxiv_math | {
"id": "2309.00211",
"title": "Multiple closed geodesics on Finsler $3$-dimensional sphere",
"authors": "Huagui Duan, Zihao Qi",
"categories": "math.SG math.DG math.DS",
"license": "http://creativecommons.org/publicdomain/zero/1.0/"
} |
---
abstract: |
It is a well known result due to Korshunov and Sapozhenko that the hypercube in $n$ dimensions has $(1 + o(1)) \cdot 2 \sqrt e \cdot 2^{2^{n-1}}$ independent sets. Jenssen and Keevash investigated in depth Cartesian powers of cycles of fixed even lengths far beyond counting independent sets. They wond... | arxiv_math | {
"id": "2310.02747",
"title": "Independent sets in discrete tori of odd sidelength",
"authors": "Patrick Arras and Felix Joos",
"categories": "math.CO math.PR",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
Let $A= \Bbbk Q/I$ be a finite dimensional gentle algebra. In this article, under some hypothesis on the quiver $Q$, we give conditions for nilpotency of the $L_\infty$-structure on the shifted Bardzell's complex $B(A)[1]$. For nilpotent cases, we describe Maurer-Cartan elements.
address:
- "$^1$ Depa... | arxiv_math | {
"id": "2309.02582",
"title": "Maurer-Cartan equation for gentle algebras",
"authors": "Monique M\\\"uller, Mar\\'ia Julia Redondo, Fiorela Rossi Bertone and\n Pamela Suarez",
"categories": "math.RA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We introduce a new class of Discontinuous Galerkin (DG) methods for solving nonlinear conservation laws on unstructured Voronoi meshes that use a nonconforming Virtual Element basis defined within each polygonal control volume. The basis functions are actually evaluated as an $L_2$ projection of the v... | arxiv_math | {
"id": "2309.02882",
"title": "Nonconforming Virtual Element basis functions for space-time\n Discontinuous Galerkin schemes on unstructured Voronoi meshes",
"authors": "Walter Boscheri and Giulia Bertaglia",
"categories": "math.NA cs.CE cs.NA physics.flu-dyn",
"license": "http://arxiv.org/licenses/nonexclu... |
---
abstract: |
We obtain a generalization of the ABC Theorem on locally nilpotent derivations to the case of the polynomials with $m$ monomials such that each variable is included just in one monomial. As applications of this result we provide some construction of rigid and semi-rigid algebras and describe the Makar... | arxiv_math | {
"id": "2309.13971",
"title": "Generalization of the ABC theorem on locally nilpotent derivations",
"authors": "Veronika Kikteva",
"categories": "math.AG math.AC",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
The property of countable metacompactness of a topological space gets its importance from Dowker's 1951 theorem that the product of a normal space $X$ with the unit interval $[0,1]$ is again normal iff $X$ is countably metacompact. In a recent paper, Leiderman and Szeptycki studied $\Delta$-spaces, wh... | arxiv_math | {
"id": "2309.13367",
"title": "Ladder systems and countably metacompact topological spaces",
"authors": "Rodrigo Carvalho and Tanmay Inamdar and Assaf Rinot",
"categories": "math.LO math.GN",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
Let $f:[0,1]^d\to\mathbb{R}$ be a completely monotone integrand as defined by Aistleitner and Dick (2015) and let points $\boldsymbol{x}_0,\dots,\boldsymbol{x}_{n-1}\in[0,1]^d$ have a non-negative local discrepancy (NNLD) everywhere in $[0,1]^d$. We show how to use these properties to get a non-asympt... | arxiv_math | {
"id": "2309.04209",
"title": "Computable error bounds for quasi-Monte Carlo using points with\n non-negative local discrepancy",
"authors": "Michael Gnewuch, Peter Kritzer, Art B. Owen, Zexin Pan",
"categories": "math.NA cs.NA math.ST stat.TH",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
In this paper, we present an algebro-geometric construction of the Hitchin connection in the parabolic setting for a fixed determinant line bundle, following [@pauly2023hitchin]. Our strategy is based on Hecke modifications, where we provide a decomposition formula for the parabolic determinant line b... | arxiv_math | {
"id": "2310.02813",
"title": "Parabolic Hitchin connection",
"authors": "Zakaria Ouaras",
"categories": "math.AG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We consider the stochastic control problem of the *shallow lake* and continue the work of [@KLS] in three directions. First, we generalise the characterisation of the value function as the viscosity solution of a well-posed problem to include more general recycling rates. Then, we prove approximate op... | arxiv_math | {
"id": "2309.02885",
"title": "On the optimally controlled stochastic shallow lake",
"authors": "Angeliki Koutsimpela and Michail Loulakis",
"categories": "math.OC math.PR",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We consider a remote sensing system in which fixed sensors are placed in a region, and a drone flies over the region to collect information from cluster heads. We assume that the drone has a fixed maximum range, and that the energy consumption for information transmission from the cluster heads increa... | arxiv_math | {
"id": "2309.01604",
"title": "Optimal Real Time Drone Path Planning for Harvesting Information from a\n Wireless Sensor Network",
"authors": "Ramkumar Ganapathy, Christopher Thron",
"categories": "math.OC",
"license": "http://creativecommons.org/licenses/by-nc-sa/4.0/"
} |
---
abstract: |
A *vertex ordering* of a graph $G$ is a bijection $\pi\colon\{1,\dots,|V(G)|\}\to V(G)$. It is *successive* if the induced subgraph $G[v_{\pi(1)},\dots,v_{\pi(k)}]$ is connected for each $k$. Fang et al. \[*J. Comb. Theory* **A199** (2023), 105776\] gave formulas for counting the number of successive ... | arxiv_math | {
"id": "2310.03356",
"title": "Two product formulas for counting successive vertex orderings",
"authors": "Boon Suan Ho",
"categories": "math.CO",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
author:
- Anne Marie Svane, Christophe Biscio, Rasmus Waagepetersen
bibliography:
- ../lit.bib
title: A functional central limit theorem for the $K$-function with an estimated intensity function
---
**Abstract**
The $K$-function is arguably the most important functional summary statistic for spatial point process... | arxiv_math | {
"id": "2309.12834",
"title": "A functional central limit theorem for the K-function with an estimated\n intensity function",
"authors": "Anne Marie Svane, Christophe Biscio, Rasmus Waagepetersen",
"categories": "math.ST stat.TH",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We propose a new continuum model for a random genetic drift problem by employing a dynamical boundary condition approach. The new model can be viewed as a regularized Kimura equation, which admits a continuous solution and recovers the original system in the limits. The existence and uniqueness of the... | arxiv_math | {
"id": "2309.09484",
"title": "On a Continuum Model for Random Genetic Drift: A Dynamical Boundary\n Condition Approach",
"authors": "Chun Liu, Jan-Eric Sulzbach and Yiwei Wang",
"categories": "math.AP cs.NA math.NA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In [@FR23], it was shown that the set of Nash equilibria for any non-cooperative $N$ player game coincides with the set of Pareto optimal points of a certain vector optimization problem with non-convex ordering cone. To avoid dealing with a non-convex ordering cone, an equivalent characterization of t... | arxiv_math | {
"id": "2310.04176",
"title": "Approximating the set of Nash equilibria for convex games",
"authors": "Zachary Feinstein, Niklas Hey, Birgit Rudloff",
"categories": "math.OC econ.GN q-fin.EC",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In dimensions $d\geq 4$, by choosing a suitable scaling parameter, we show that the rescaled spatial SIR epidemic process converges to a super-Brownian motion with drift, thus complementing the previous results by Lalley [@L09] and Lalley-Zheng [@LZ10] on the convergence of SIR epidemics in $d\leq 3$.... | arxiv_math | {
"id": "2309.08926",
"title": "Rescaled SIR epidemic processes converge to super-Brownian motion in\n four or more dimensions",
"authors": "Jieliang Hong",
"categories": "math.PR",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
This paper deals with the existence and multiplicity of solutions for the generalized $(p, q)$--Laplacian equation $$\begin{split}
&-{\rm div}(A(x, u)|\nabla u|^{p-2}\nabla u) +\frac1p A_t(x, u)|\nabla u|^p -{\rm div}(B(x, u)|\nabla u|^{q-2}\nabla u) \\
&\quad\qquad+\frac1q B_t(x, u)|\nabla u|^q +... | arxiv_math | {
"id": "2309.13364",
"title": "On existence and multiplicity of solutions for generalized (p,\n q)-Laplacian equations on unbounded domains",
"authors": "Addolorata Salvatore and Caterina Sportelli",
"categories": "math.AP",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this note, we aim to extend the concepts of the Fontaine-Faltings module and Higgs-de Rham flow to parabolic versions. The crucial aspect of our generalization lies in the construction of parabolic inverse Cartier functors. The twisted versions discussed in Sun-Yang-Zuo's work can be viewed as a sp... | arxiv_math | {
"id": "2309.10449",
"title": "Parabolic Fontaine-Faltings modules and parabolic Higgs-de Rham flows",
"authors": "Jinbang Yang and Kang Zuo",
"categories": "math.AG",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We investigate the number of half-regular squares required to decompose a non-negative $C^{k,\alpha}(\mathbb{R}^n)$ function into a sum of squares. Each non-negative $C^{3,1}(\mathbb{R}^n)$ function is known to be a finite SOS in $C^{1,1}(\mathbb{R}^n)$, and similar regularity-preserving SOS decomposi... | arxiv_math | {
"id": "2309.07275",
"title": "Sum of Squares Decompositions in H\\\"older Spaces",
"authors": "Sullivan Francis MacDonald",
"categories": "math.FA",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
In this paper we investigate the conjugation of Fourier Integral Operators (FIOs) associated to Gevrey phases and symbols and the corresponding semiclassical pseudodifferential operators (pdos) in the Gevrey class. We obtain an Egorov theorem compatible with Gevrey FIOs and real principal part pdos wi... | arxiv_math | {
"id": "2310.00979",
"title": "Gevrey WKB method for PDO's of real principal type",
"authors": "Richard Lascar and Ivan Moyano",
"categories": "math.AP",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
# Product Domains {#SecProductDomain}
## $p$-Skwarczyński distance on the product domain
Suppose that $\O_1 \subset \C^{n_1}, \O_2\subset \C^{n_2}$ are two bounded domains. Let $\O=\O_1 \times \O_2$, $z=(z_1,z_2)$ , $w=(w_1,w_2)$. Then $$\r_{p,\O} (z,w)\leq \r_{p,\O_1}(z_1,w_1)+\r_{p,\O_2}(z_2,w_2)$$
By definition a... | arxiv_math | {
"id": "2309.00084",
"title": "$p$-Skwarczy\\'nski distance",
"authors": "Shreedhar Bhat",
"categories": "math.CV",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
Suppose that $A$ and $B$ are sets in $\mathbb{R}^d$, and we form the sumset of $A$ with $n$ random points of $B$. Given the volumes of $A$ and $B$, how should we choose them to minimize the expected volume of this sumset? Our aim in this paper is to show that we should take $A$ and $B$ to be Euclidean... | arxiv_math | {
"id": "2309.00103",
"title": "Random Translates in Minkowski Sums",
"authors": "Paul Balister, Bela Bollobas, Imre Leader and Marius Tiba",
"categories": "math.FA math.CO",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We define the singular support of an $\ell$-adic sheaf on a smooth variety over any field. To do this, we combine Beilinson's construction of the singular support for torsion étale sheaves with Hansen and Scholze's theory of universal local acyclicity for $\ell$-adic sheaves.
author:
- Owen Barrett
ti... | arxiv_math | {
"id": "2309.02587",
"title": "The singular support of an $\\ell$-adic sheaf",
"authors": "Owen Barrett",
"categories": "math.AG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this paper we give necessary and sufficient conditions for a knot type to admit non-loose Legendrian and transverse representatives in some overtwisted contact structure, classify all non-loose rational unknots in lens spaces, and discuss conditions under which non-looseness is preserved under cabl... | arxiv_math | {
"id": "2310.04908",
"title": "Existence and construction of non-loose knots",
"authors": "Rima Chatterjee, John B. Etnyre, Hyunki Min, Anubhav Mukherjee",
"categories": "math.GT math.SG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
author:
- "Xiaojun Huang [^1] and Wanke Yin[^2]"
title: "**Regular types and order of vanishing along a set of non-integrable vector fields**"
---
Dedicated to the memory of Professor Zhi-Hua Chen
**Abstract**: This paper has two parts. We first survey recent efforts on the Bloom conjecture [@Bl2] which still re... | arxiv_math | {
"id": "2309.09757",
"title": "Regular types and order of vanishing along a set of non-integrable\n vector fields",
"authors": "Xiaojun Huang and Wanke Yin",
"categories": "math.CV math.AP",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
**DIRECTIONAL TYKHONOV WELL-POSEDNESS FOR OPTIMIZATION PROBLEMS AND VARIATIONAL INEQUALITIES**\
Vo Ke Hoang [^1]$^,$[^2] and Vo Si Trong Long[^3]$^,$[^4]
**Abstract.** By using the so-called minimal time function, we propose and study a novel notion of *directional Tykhonov well-posedness* for optimization problems, w... | arxiv_math | {
"id": "2309.00515",
"title": "Directional Tykhonov well-posedness for optimization problems and\n variational inequalities",
"authors": "Vo Ke Hoang and Vo Si Trong Long",
"categories": "math.OC",
"license": "http://creativecommons.org/licenses/by-sa/4.0/"
} |
---
abstract: |
In this paper we construct smooth, non-radial solutions of the compressible Euler and Navier-Stokes equation that develop an imploding finite time singularity. Our construction is motivated by the works [@Merle-Raphael-Rodnianski-Szeftel:implosion-i; @Merle-Raphael-Rodnianski-Szeftel:implosion-ii; @Bu... | arxiv_math | {
"id": "2310.05325",
"title": "Non-radial implosion for compressible Euler and Navier-Stokes in\n $\\mathbb{T}^3$ and $\\mathbb{R}^3$",
"authors": "Gonzalo Cao-Labora, Javier G\\'omez-Serrano, Jia Shi, Gigliola\n Staffilani",
"categories": "math.AP math-ph math.MP",
"license": "http://arxiv.org/licenses/no... |
---
abstract: |
We study the algebraic complexity of Euclidean distance minimization from a generic tensor to a variety of rank-one tensors. The Euclidean Distance (ED) degree of the Segre-Veronese variety counts the number of complex critical points of this optimization problem. We regard this invariant as a functio... | arxiv_math | {
"id": "2309.15105",
"title": "On the minimal algebraic complexity of the rank-one approximation\n problem for general inner products",
"authors": "Khazhgali Kozhasov, Alan Muniz, Yang Qi, Luca Sodomaco",
"categories": "math.AG math.OC",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this paper we use display calculus to show the decidability for normal modal logic $\mathrm{K}$ and some of its extensions.
author:
- Jinsheng Chen
bibliography:
- ref.bib
title: Deciding some displayable modal logics
---
# Introduction
Proof theory for modal logics aims at developing 'good' calc... | arxiv_math | {
"id": "2309.02699",
"title": "Deciding some displayable modal logics",
"authors": "Jinsheng Chen",
"categories": "math.LO",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We prove a variant of the Theorem of Ito-Michler, investigating the properties of finite groups where a prime number $p$ does not divide the degree of any irreducible character left invariant by some Galois automorphism $\sigma$ of order $p$.
author:
- "Nicola Grittini [^1]"
bibliography:
- BIB.bib
ti... | arxiv_math | {
"id": "2309.05796",
"title": "On the degrees of irreducible characters fixed by some field\n automorphism in finite groups",
"authors": "N. Grittini",
"categories": "math.GR",
"license": "http://creativecommons.org/licenses/by-sa/4.0/"
} |
---
abstract: |
We consider the Tutte polynomial of three classes of greedoids: those arising from rooted graphs, rooted digraphs and binary matrices. We establish the computational complexity of evaluating each of these polynomials at each fixed rational point $(x,y)$. In each case we show that evaluation is $\#$P-h... | arxiv_math | {
"id": "2309.04537",
"title": "The complexity of the greedoid Tutte polynomial",
"authors": "Christopher Knapp and Steven Noble",
"categories": "math.CO",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We introduce two notions called $k-$weakly uniform rotundity ($k-$WUR) and $k-$weakly locally uniform rotundity ($k-$WLUR) in real Banach spaces. These are natural generalizations of the well-known concepts $k-$UR and WUR. By introducing two best approximation notions namely $k-$weakly strong Chebyshe... | arxiv_math | {
"id": "2309.14224",
"title": "On $k-$WUR and its generalizations",
"authors": "P. Gayathri and Vamsinadh Thota",
"categories": "math.FA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
This work is concerned with features of planar dynamical systems governed by a smooth velocity field and additive white noise. By Helmholtz's theorem, the system's velocity field can be decomposed into an irrotational and a solenoidal part, defined by a scalar and a vector potential, respectively. The... | arxiv_math | {
"id": "2309.02513",
"title": "Certain features of planar systems",
"authors": "Tiemo Pedergnana and Nicolas Noiray",
"categories": "math.DS math-ph math.CA math.MP",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
Recently, Paolini and Shelah have constructed absolutely Hopfian torsion-free abelian groups of any given size. In contrast, we show that this is not necessarily the case for absolutely co-Hopfian groups. We apply the infinitary logic to show a dichotomy behavior of co-Hopfian groups, by showing that ... | arxiv_math | {
"id": "2309.16997",
"title": "Expressive Power of Infinitary Logic and Absolute co-Hopfianity",
"authors": "Mohsen Asgharzadeh, Mohammad Golshani, Saharon Shelah",
"categories": "math.LO math.AC math.GR",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
In this paper we proved that there exists four distinct diffeomorphism classes of three dimensional real Bott tower $M(A)=(S^1)^3/(\mathbb{Z}_2)^3$, and 12 distinct diffeomorphism classes of four dimensional real Bott tower $M(A)=(S^1)^4/(\mathbb{Z}_2)^4$, where matrix $A$ corresponds to the action of... | arxiv_math | {
"id": "2309.03200",
"title": "Real Bott Tower",
"authors": "Admi Nazra",
"categories": "math.AT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We study the behavior of the smallest possible constants $d(a,b)$ and $d_n$ in Hardy inequalities $$\int_a^b\left(\frac{1}{x}\int_a^xf(t)dt\right)^p\,dx\leq
d(a,b)\,\int_a^b [f(x)]^p dx$$ and $$\sum_{k=1}^{n}\Big(\frac{1}{k}\sum_{j=1}^{k}a_j\Big)^p\leq
d_n\,\sum_{k=1}^{n}a_k^p.$$ The exact rate of... | arxiv_math | {
"id": "2310.00281",
"title": "On the Constants and Extremal Function and Sequence for Hardy\n Inequalities in $L_p$ and $l_p$",
"authors": "Ivan Gadjev",
"categories": "math.CA math.AP",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
The SIML (abbreviation of Separating Information Maximal Likelihood) method, has been introduced by N. Kunitomo and S. Sato and their collaborators to estimate the integrated volatility of high-frequency data that is assumed to be an Itô process but with so-called microstructure noise. The SIML estima... | arxiv_math | {
"id": "2310.02160",
"title": "The SIML method without microstructure noise",
"authors": "Jir\\^o Akahori and Ryuya Namba and Atsuhito Watanabe",
"categories": "math.ST math.PR stat.TH",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We develop a limit theory for controlled mean field stochastic partial differential equations in a variational framework. More precisely, we prove existence results for mean field limits and particle approximations, and we establish a set-valued propagation of chaos result which shows that sets of emp... | arxiv_math | {
"id": "2310.00928",
"title": "A limit theory for controlled McKean-Vlasov SPDEs",
"authors": "David Criens",
"categories": "math.PR math.AP math.OC",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
An edge colouring of $K_n$ with $k$ colours is a *Gallai $k$-colouring* if it does not contain any rainbow triangle. Gyárfás, Pálvölgyi, Patkós and Wales proved that there exists a number $g(k)$ such that $n\geq g(k)$ if and only if for any colour distribution sequence $(e_1,\cdots,e_k)$ with $\sum_{i... | arxiv_math | {
"id": "2309.05606",
"title": "Distribution of colours in rainbow H-free colourings",
"authors": "Zhuo Wu, Jun Yan",
"categories": "math.CO",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
A generic orthotope is an orthogonal polytope whose tangent cones are described by read-once Boolean functions. The purpose of this note is to develop a theory of Ehrhart polynomials for integral generic orthotopes. The most remarkable part of this theory is a relation between the number of lattice po... | arxiv_math | {
"id": "2309.09026",
"title": "Ehrhart Polynomials of Generic Orthotopes",
"authors": "David Richter",
"categories": "math.CO",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We consider the initial boundary value problem to the motion of an inextensible hanging string of finite length under the action of the gravity. In this problem, the tension of the string is also an unknown quantity. It is determined as a unique solution to a two-point boundary value problem, which is... | arxiv_math | {
"id": "2309.01400",
"title": "A priori estimates of solutions to the motion of an inextensible hanging\n string",
"authors": "Tatsuo Iguchi, Masahiro Takayama",
"categories": "math.AP",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
Given a frame in a finite dimensional Hilbert space we construct additive perturbations which decrease the condition number of the frame. By iterating this perturbation, we introduce an algorithm that produces a tight frame in a finite number of steps. Additionally, we give sharp bounds on additive pe... | arxiv_math | {
"id": "2309.06331",
"title": "Additive Stability of Frames",
"authors": "Oleg Asipchuk, Jacob Glidewell, and Luis Rodriguez",
"categories": "math.FA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We analyze the problem of network identifiability with nonlinear functions associated with the edges. We consider a static model for the output of each node and by assuming a perfect identification of the function associated with the measurement of a node, we provide conditions for the identifiability... | arxiv_math | {
"id": "2309.06854",
"title": "Nonlinear network identifiability: The static case",
"authors": "Renato Vizuete and Julien M. Hendrickx",
"categories": "math.OC cs.SY eess.SY",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
In 1976, Lai constructed a nontrivial confidence sequence for the mean $\mu$ of a Gaussian distribution with unknown variance $\sigma$. Curiously, he employed both an improper (right Haar) mixture over $\sigma$ and an improper (flat) mixture over $\mu$. Here, we elaborate carefully on the details of h... | arxiv_math | {
"id": "2310.03722",
"title": "Anytime-valid t-tests and confidence sequences for Gaussian means with\n unknown variance",
"authors": "Hongjian Wang and Aaditya Ramdas",
"categories": "math.ST cs.LG stat.ME stat.ML stat.TH",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
The near-completion of the program of endoscopy poses the question of what lies next. This article takes a broad view of ideas beyond the program of endoscopy, highlighting the connections among them, and emphasizing the relationship between local and global aspects. Central among those ideas is the o... | arxiv_math | {
"id": "2310.02438",
"title": "Local and global questions \"beyond endoscopy\"",
"authors": "Yiannis Sakellaridis",
"categories": "math.NT math.RT",
"license": "http://creativecommons.org/licenses/by-nc-sa/4.0/"
} |
---
author:
-
-
title: On the Rankin--Selberg $L$-function related to the Godement--Jacquet $L$-function II
---
# Introduction
For $n \geq 2$, an element $z \in \mathcal{H}^n$ takes the form $z=x \cdot y$ where $$x=
\begin{pmatrix}
1 & x_{1,2} & x_{1,3} & \cdots & x_{1,n} \\
& 1 & x_{2,3} & \cdots & x_{... | arxiv_math | {
"id": "2309.00243",
"title": "On the Rankin-Selberg $L$-function related to the Godement-Jacquet\n $L$-function II",
"authors": "Amrinder Kaur, Ayyadurai Sankaranarayanan",
"categories": "math.NT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We study concentration properties for laws of non-linear Gaussian functionals on metric spaces. Our focus lies on measures with non-Gaussian tail behaviour which are beyond the reach of Talagrand's classical Transportation-Cost Inequalities (TCIs). Motivated by solutions of Rough Differential Equation... | arxiv_math | {
"id": "2310.05750",
"title": "Transportation-cost inequalities for non-linear Gaussian functionals",
"authors": "Ioannis Gasteratos, Antoine Jacquier",
"categories": "math.PR q-fin.MF",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We investigate the finite time explosion of the stochastic heat equation $\frac{\partial u}{\partial t} = \Delta u(t,x) + \sigma(u(t,x))\dot{W}(t,x)$ in the critical setting where $\sigma$ grows like $\sigma(u) \approx C(1 + |u|^\gamma)$ and $\gamma = \frac{3}{2}$. Mueller previously identified $\gamm... | arxiv_math | {
"id": "2309.04330",
"title": "Solutions to the stochastic heat equation with polynomially growing\n multiplicative noise do not explode in the critical regime",
"authors": "Michael Salins",
"categories": "math.PR",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
On retrouve des résultats de Alain Hénaut sur les groupes de symétrie des tissus implicites dans le cadre usuel des actions de groupes de Lie sur les équations différentielles. On donne aussi un lien entre l'algèbre de Lie des symétries d'un tissu et l'existence de polynômes de Darboux.
address:
- Uni... | arxiv_math | {
"id": "2310.04093",
"title": "Application des groupes de Lie {\\`a} la recherche des sym{\\'e}tries des\n tissus implicites du plan",
"authors": "Jacky Cresson (LMAP), Jordy Palafox (CY)",
"categories": "math.DS",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
The generalized Turán number ${\rm ex}(n,K_s,F)$ denotes the maximum number of copies of $K_s$ in an $n$-vertex $F$-free graph. Let $kF$ denote $k$ disjoint copies of $F$. Gerbner, Methuku and Vizer \[DM, 2019, 3130-3141\] gave a lower bound for ${\rm ex}(n,K_3,2C_5)$ and obtained the magnitude of $... | arxiv_math | {
"id": "2309.09603",
"title": "Maximum cliques in a graph without disjoint given subgraph",
"authors": "Fangfang Zhang, Yaojun Chen, Ervin Gyori, Xiutao Zhu",
"categories": "math.CO",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
$A111384(n)$ is an upper bound for the number of primes that can be written as a sum of three distinct primes selected from a set of $n$ primes. Is this bound sharp?
address: Freiburg, Germany
author:
- Markus Sigg
date: September 26, 2023.
title: A note on OEIS sequence A111384
---
AMS subjects clas... | arxiv_math | {
"id": "2309.14840",
"title": "A note on OEIS sequence A111384",
"authors": "Markus Sigg",
"categories": "math.CO",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We find a finite free resolution of the counit of the free unitary quantum groups of van Daele and Wang and, more generally, Bichon's universal cosovereign Hopf algebras with a generic parameter matrix. This allows us to compute Hochschild cohomology with 1-dimensional coefficients for all these Hopf ... | arxiv_math | {
"id": "2309.07767",
"title": "Free resolutions for free unitary quantum groups and universal\n cosovereign Hopf algebras",
"authors": "Isabelle Baraquin, Uwe Franz, Malte Gerhold, Anna Kula, Mariusz\n Tobolski",
"categories": "math.QA math.OA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.... |
---
abstract: |
In this paper we look at the topological type of algebraic sum of achievement sets. We show that there is a Cantorval such that the algebraic sum of its $k$ copies is still a Cantorval for any $k \in \mathbb N$. We also prove that for any $m,p \in (\mathbb N\setminus \{1\}) \cup \{\infty\}$, $p \geq m... | arxiv_math | {
"id": "2309.01589",
"title": "Algebraic sums of achievable sets involving Cantorvals",
"authors": "Jacek Marchwicki, Piotr Nowakowski, Franciszek Prus-Wi\\'sniowski",
"categories": "math.CA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
arxiv_math | {
"id": "2310.03839",
"title": "Davydov-Yetter cohomology for Tensor Triangulated Categories",
"authors": "Angel Israel Toledo Castro",
"categories": "math.CT math.KT",
"license": "http://creativecommons.org/licenses/by-nc-sa/4.0/"
} | |
---
abstract: |
Some combinatorial designs, such as Hadamard matrices, have been extensively researched and are familiar to readers across the spectrum of Science and Engineering. They arise in diverse fields such as cryptography, communication theory, and quantum computing. Objects like this also lend themselves to ... | arxiv_math | {
"id": "2309.07522",
"title": "A survey of complex generalized weighing matrices and a construction of\n quantum error-correcting codes",
"authors": "Ronan Egan",
"categories": "math.CO",
"license": "http://creativecommons.org/publicdomain/zero/1.0/"
} |
---
bibliography:
- planar.bib
title: Transposed Poisson Structures on the planar Galilean conformal algebra
---
[^1]
**Henan Wu[^2] Wenting Zhang[^3]**
*Each $\frac{1}{2}$-derivation of the planar Galilean conformal algebra is proven to be a scalar. As a corollary, all transposed Poisson structures on the planar Ga... | arxiv_math | {
"id": "2310.03282",
"title": "Transposed Poisson Structures on the planar Galilean conformal algebra",
"authors": "Henan Wu and Wenting Zhang",
"categories": "math.RA",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
arxiv_math | {
"id": "2309.03142",
"title": "Euler Characteristics and Homotopy Types of Definable Sublevel Sets,\n with Applications to Topological Data Analysis",
"authors": "Mattie Ji, Kun Meng, Kexin Ding",
"categories": "math.AT math.ST stat.TH",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} | |
---
abstract: |
The stated skein algebra is a generalization of the Kauffman bracket skein algebra introduced in the study of quantum trace maps. When the quantum parameter is a root of unity, the stated skein algebra has a big center and is finitely generated as a module over the center. We give the center a simple ... | arxiv_math | {
"id": "2309.14713",
"title": "Center of the stated skein algebra",
"authors": "Tao Yu",
"categories": "math.QA math.GT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
Quasiperiodic systems, related to irrational numbers, are space-filling structures without decay nor translation invariance. How to accurately recover these systems, especially for non-smooth cases, presents a big challenge in numerical computation. In this paper, we propose a new algorithm, finite po... | arxiv_math | {
"id": "2309.13236",
"title": "Accurately recover global quasiperiodic systems by finite points",
"authors": "Kai Jiang, Qi Zhou, Pingwen Zhang",
"categories": "math.NA cs.NA",
"license": "http://creativecommons.org/licenses/by-nc-nd/4.0/"
} |
---
abstract: |
The Banach-Mazur game, Schmidt's game and McMullen's absolute winning game are three quintessential intersection games. We investigate their determinacy on the real line when the target set for either player is a Bernstein set, a non-Lebesgue measurable set whose construction depends on the axiom of c... | arxiv_math | {
"id": "2310.03039",
"title": "Intersection Games and Bernstein Sets",
"authors": "James Atchley, Lior Fishman, Saisneha Ghatti",
"categories": "math.LO",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this paper, we first consider the pseudoprimeness of meromorphic solutions $u$ to a family of partial differential equations (PDEs) $H(u_{z_1},u_{z_2},\ldots,u_{z_n})=P(u)$ of Waring's-problem form, where $H(z_1,z_2,\ldots,z_n)$ is a nontrivial homogenous polynomial of degree $\ell$ in $\mathbf{C}^... | arxiv_math | {
"id": "2309.06616",
"title": "On partial differential equations of Waring's-problem form in several\n complex variables",
"authors": "Qi Han",
"categories": "math.CV math.AP",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We explore a linear inhomogeneous elasticity equation with random Lamé parameters. The latter are parameterized by a countably infinite number of terms in separated expansions. The main aim of this work is to estimate expected values (considered as an infinite dimensional integral on the parametric sp... | arxiv_math | {
"id": "2310.06187",
"title": "Quasi-Monte Carlo sparse grid Galerkin finite element methods for linear\n elasticity equations with uncertainties",
"authors": "J. Dick, Q. T. Le Gia, K. Mustapha, T. Tran",
"categories": "math.NA cs.NA",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
In this paper we survey Eckardt points on a smooth complex cubic threefold with an approach aimed at computing all Eckardt points of a cubic threefold. In addition, we construct cubic threefolds with no Eckardt points but containing triple lines.
address:
- Gloire Grâce Bockondas, Département de Mathé... | arxiv_math | {
"id": "2309.08124",
"title": "Eckardt points on a cubic threefold",
"authors": "Gloire Grace Bockondas and Basile Guy Richard Bossoto",
"categories": "math.AG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
author:
- |
Jin-Cai Kang$^a$, Yong-Yong Li$^b$, Chun-Lei Tang$^a$[^1]\
*$^a$School of Mathematics and Statistics, Southwest University, Chongqing, 400715, China,*\
*$^b$College of Mathematics and Statistics, Northwest Normal University, Lanzhou, 730070, China*
date:
-
-
title: " Prescribed mass standing w... | arxiv_math | {
"id": "2309.09758",
"title": "Prescribed mass standing waves for Schr\\\"{o}dinger-Maxwell equations\n with combined nonlinearities",
"authors": "Jin-Cai Kang, Yong-Yong Li, Chun-Lei Tang",
"categories": "math.AP",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
A $k$-uniform hypergraph is a hypergraph where each $k$-hyperedge has exactly $k$ vertices. A $k$-homogeneous access structure is represented by a $k$-uniform hypergraph $\mathcal{H}$, in which the participants correspond to the vertices of hypergraph $\mathcal{H}$. A set of vertices can reconstruct t... | arxiv_math | {
"id": "2309.07479",
"title": "On Ideal Secret-Sharing Schemes for $k$-homogeneous access structures",
"authors": "Younjin Kim, Jihye Kwon, Hyang-Sook Lee",
"categories": "math.CO cs.CR",
"license": "http://creativecommons.org/publicdomain/zero/1.0/"
} |
---
abstract: |
It is increasingly realized that taking stochastic effects into account is important in order to study biological cells. However, the corresponding mathematical formulation, the chemical master equation (CME), suffers from the curse of dimensionality and thus solving it directly is not feasible for mo... | arxiv_math | {
"id": "2309.08252",
"title": "A low-rank complexity reduction algorithm for the high-dimensional\n kinetic chemical master equation",
"authors": "Lukas Einkemmer and Julian Mangott and Martina Prugger",
"categories": "math.NA cs.NA physics.bio-ph physics.comp-ph",
"license": "http://arxiv.org/licenses/none... |
---
abstract: |
In this paper, we introduce a bivariate tempered space-fractional Poisson process (BTSFPP) by time-changing the bivariate Poisson process with an independent tempered $\alpha$-stable subordinator. We study its distributional properties and its connection to differential equations. The Lévy measure for... | arxiv_math | {
"id": "2309.10566",
"title": "Bivariate Tempered Space-Fractional Poisson Process and Shock Models",
"authors": "Ritik Soni, Ashok Kumar Pathak, Antonio Di Crescenzo, and Alessandra\n Meoli",
"categories": "math.PR",
"license": "http://creativecommons.org/licenses/by-nc-nd/4.0/"
} |
---
abstract: |
In this work we study different Implicit-Explicit (IMEX) schemes for incompressible flow problems with variable viscosity. Unlike most previous work on IMEX schemes, which focuses on the convective part, we here focus on treating parts of the diffusive term explicitly to reduce the coupling between th... | arxiv_math | {
"id": "2310.04182",
"title": "Implicit-explicit schemes for incompressible flow problems with variable\n viscosity",
"authors": "Gabriel R. Barrenechea, Ernesto Castillo, Douglas R. Q. Pacheco",
"categories": "math.NA cs.NA",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
Filippov $n$-algebroids are introduced by Grabowski and Marmo as a natural generalization of Lie algebroids. In this note, we characterize Filippov $n$-algebroid structures by considering certain multi-input connections, which we call Filippov connections, on the underlying vector bundle. Through this... | arxiv_math | {
"id": "2309.04180",
"title": "The geometric constraints on Filippov algebroids",
"authors": "Yanhui Bi, Zhixiong Chen, Zhuo Chen, and Maosong Xiang",
"categories": "math.RA math.DG",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
The $d$-th order Laplacian spectral moment of a $k$-uniform hypergraph is the sum of the $d$-th powers of all eigenvalues of its Laplacian tensor. In this paper, we obtain some expressions of the Laplacian spectral moments for $k$-uniform power hypergraphs, and these expressions can be represented by ... | arxiv_math | {
"id": "2310.01811",
"title": "The Laplacian spectral moments of power hypergraphs",
"authors": "Jueru Liu, Lixiang Chen, Changjiang Bu",
"categories": "math.CO",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
The goal of this survey is to present intimate interactions between four branches of conformal dynamics: iterations of anti-rational maps, actions of Kleinian reflection groups, dynamics generated by Schwarz reflections in quadrature domains, and algebraic correspondences. We start with several exampl... | arxiv_math | {
"id": "2310.03316",
"title": "Mirrors of conformal dynamics: Interplay between anti-rational maps,\n reflection groups, Schwarz reflections, and correspondences",
"authors": "Mikhail Lyubich and Sabyasachi Mukherjee",
"categories": "math.DS math.CV math.GT",
"license": "http://arxiv.org/licenses/nonexclusi... |
---
abstract: |
The variational inequality problem in finite-dimensional Euclidean space is addressed in this paper, and two inexact variants of the extragradient method are proposed to solve it. Instead of computing exact projections on the constraint set, as in previous versions extragradient method, the proposed m... | arxiv_math | {
"id": "2309.00648",
"title": "Extragradient method with feasible inexact projection to variational\n inequality problem",
"authors": "R.D\\'iaz Mill\\'an, O.P. Ferreira and J. Ugon",
"categories": "math.OC",
"license": "http://creativecommons.org/licenses/by-sa/4.0/"
} |
---
abstract: |
While the splinter property is a local property for Noetherian schemes in characteristic zero, Bhatt observed that it imposes strong conditions on the global geometry of proper schemes in positive characteristic. We show that if a proper scheme over a field of positive characteristic is a splinter, th... | arxiv_math | {
"id": "2309.02511",
"title": "On proper splinters in positive characteristic",
"authors": "Johannes Krah and Charles Vial",
"categories": "math.AG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
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