content stringlengths 0 625k | subset stringclasses 1
value | meta dict |
|---|---|---|
---
abstract: |
We consider Steklov eigenvalues of nearly hyperspherical domains in $\mathbb{R}^{d + 1}$ with $d\ge 3$. In previous work, treating such domains as perturbations of the ball, we proved that the Steklov eigenvalues are analytic functions of the domain perturbation parameter. Here, we compute the first-o... | arxiv_math | {
"id": "2310.03960",
"title": "Steklov eigenvalues of nearly hyperspherical domains",
"authors": "Chee Han Tan, Robert Viator",
"categories": "math.SP math.AP math.OC",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
In this note we described the polynomial identities of degree 4 for the certain subspace of the Weyl algerbra $\mathsf{A}_1$ over an infinite field of arbitrary characteristic.
polynomial identities, matrix identities, Weyl algebra, positive characteristic.
16R10; 16S32.
address:
- |
Artem Lop... | arxiv_math | {
"id": "2309.12795",
"title": "Identities for subspaces of the Weyl algebra",
"authors": "Artem Lopatin, Carlos Arturo Rodriguez Palma",
"categories": "math.RA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
This paper uses reconstruction algebras to construct simultaneous resolution of determinantal surfaces. The main new difference to the classical case is that, in addition to the quiver of the reconstruction algebra, certain noncommutative relations, namely those of the canonical algebra of Ringel, are... | arxiv_math | {
"id": "2309.02982",
"title": "Deformations and Simulatenous Resolutions of Determinantal Surfaces",
"authors": "Brian Makonzi",
"categories": "math.AG math.RT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this document we define a method of proof that we call proof by dichotomy. Its field of application is any proposition on the set of natural numbers $\mathbb{N}$. It consists in the repetition of a step. A step proves the proposition for half of the members of an infinite subset $U$ of $\mathbb{N}$... | arxiv_math | {
"id": "2310.04109",
"title": "Notes on proof by dichotomy",
"authors": "Laurent Fallot (EPOC)",
"categories": "math.LO",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We prove the existence of solutions to a non-linear, non-local, degenerate equation which was previously derived as the formal hydrodynamic limit of an active Brownian particle system, where the particles are endowed with a position and an orientation. This equation incorporates diffusion in both the ... | arxiv_math | {
"id": "2309.17326",
"title": "Well-posedness and stationary states for a crowded active Brownian\n system with size-exclusion",
"authors": "Martin Burger and Simon Schulz",
"categories": "math.AP",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
Primal-dual algorithms are frequently used for iteratively solving large-scale convex optimization problems. The analysis of such algorithms is usually done on a case-by-case basis, and the resulting guaranteed rates of convergence can be conservative. Here we consider a class of first-order algorithm... | arxiv_math | {
"id": "2309.11365",
"title": "Automated Lyapunov Analysis of Primal-Dual Optimization Algorithms: An\n Interpolation Approach",
"authors": "Bryan Van Scoy and John W. Simpson-Porco and Laurent Lessard",
"categories": "math.OC cs.SY eess.SY",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
... |
---
abstract: |
Let $N(X)$ be the Laplacian matrix of a directed graph obtained from the edge adjacency matrix of a graph $X.$ In this work, we study the bipartiteness property of the graph with the help of $N(X).$ We computed the spectrum of the edge Laplacian matrix for the regular graphs, the complete bipartite gr... | arxiv_math | {
"id": "2309.15841",
"title": "Spectral properties of edge Laplacian matrix",
"authors": "Shivani Chauhan and A. Satyanarayana Reddy",
"categories": "math.CO",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
For each odd prime power $q$, and each integer $k$, we determine the sum of the $k$-th powers of all elements $x\in\mathbb{F}_q$ for which both $x$ and $x+1$ are squares in $\mathbb{F}_q^*$. We also solve the analogous problem when one or both of $x$ and $x+1$ is a nonsquare. We use these results to d... | arxiv_math | {
"id": "2309.14979",
"title": "On sums of powers of consecutive squares over finite fields, and sums of\n distinct values of polynomials",
"authors": "Zhiguo Ding and Michael E. Zieve",
"categories": "math.NT",
"license": "http://creativecommons.org/licenses/by-nc-nd/4.0/"
} |
---
abstract: |
Let $(a(n) : n \in \mathbb{N})$ denote a sequence of nonnegative integers. Let $0.a(1)a(2)...$ denote the real number obtained by concatenating the digit expansions, in a fixed base, of consecutive entries of $(a(n) : n \in \mathbb{N})$. Research on digit expansions of this form has mainly to do with ... | arxiv_math | {
"id": "2309.13520",
"title": "The prime-counting Copeland-Erd\\H{o}s constant",
"authors": "John M. Campbell",
"categories": "math.NT",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
In this paper, we describe the possible disconnected complex reductive algebraic groups $E$ with component group $\Gamma = E/E_0$. We show that there is a natural bijection between such groups $E$ and algebraic extensions of $\Gamma$ by $Z(E_0)$.
author:
- |
Marisa Gaetz[^1]\
Department of Mathema... | arxiv_math | {
"id": "2310.00170",
"title": "Disconnected reductive groups",
"authors": "Marisa Gaetz and David Vogan",
"categories": "math.RT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
As we all know, the Minkowski type problem is the cornerstone of the Brunn-Minkowski theory in Euclidean space. The Heisenberg group as a sub-Riemannian space is the simplest non-Abelian degenerate Riemannian space that is completely different from a Euclidean space. By analogy with the Minkowski type... | arxiv_math | {
"id": "2309.01170",
"title": "The Minkowski problem in Heisenberg groups",
"authors": "Bin Chen, Juan Zhang, Peibiao Zhao, Xia Zhao",
"categories": "math.DG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
Mixed volumes in $n$-dimensional Euclidean space are functionals of $n$-tuples of convex bodies $K,L,C_1,\ldots,C_{n-2}$. The Alexandrov--Fenchel inequalities are fundamental inequalities between mixed volumes of convex bodies. As very special cases they cover or imply many important inequalities betw... | arxiv_math | {
"id": "2309.16872",
"title": "The support of mixed area measures involving a new class of convex\n bodies",
"authors": "Daniel Hug and Paul A. Reichert",
"categories": "math.MG math.FA",
"license": "http://creativecommons.org/licenses/by-nc-sa/4.0/"
} |
---
abstract: |
We consider a ranking problem where we have noisy observations from a matrix with isotonic columns whose rows have been permuted by some permutation $\pi^*$. This encompasses many models, including crowd-labeling and ranking in tournaments by pair-wise comparisons. In this work, we provide an optimal ... | arxiv_math | {
"id": "2310.01133",
"title": "Optimal rates for ranking a permuted isotonic matrix in polynomial time",
"authors": "Emmanuel Pilliat (IMAG), Alexandra Carpentier, Nicolas Verzelen\n (MISTEA)",
"categories": "math.ST stat.TH",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
bibliography:
- biblio.bib
---
**Spatial growth-fragmentations and excursions from hyperplanes**
by
William Da Silva[^1] and Juan Carlos Pardo[^2]
=2truecm =2truecm
In this paper, we are interested in the self-similar growth-fragmentation process that shows up when slicing half-space excursions of a $d$-dimens... | arxiv_math | {
"id": "2309.08459",
"title": "Spatial growth-fragmentations and excursions from hyperplanes",
"authors": "William Da Silva and Juan Carlos Pardo",
"categories": "math.PR",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We study semi-parametric estimation of the population mean when data is observed missing at random (MAR) in the $n < p$ "inconsistency regime", in which neither the outcome model nor the propensity/missingness model can be estimated consistently. Consider a high-dimensional linear-GLM specification in... | arxiv_math | {
"id": "2309.01362",
"title": "Challenges of the inconsistency regime: Novel debiasing methods for\n missing data models",
"authors": "Michael Celentano and Martin J. Wainwright",
"categories": "math.ST stat.ME stat.TH",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
The recent deployment of multi-agent systems in a wide range of scenarios has enabled the solution of learning problems in a distributed fashion. In this context, agents are tasked with collecting local data and then cooperatively train a model, without directly sharing the data. While distributed lea... | arxiv_math | {
"id": "2309.00520",
"title": "Online Distributed Learning over Random Networks",
"authors": "Nicola Bastianello, Diego Deplano, Mauro Franceschelli, Karl H.\n Johansson",
"categories": "math.OC cs.LG cs.MA cs.SY eess.SY",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We consider analytic maps and vector fields defined in $\mathbb{R}^2 \times \mathbb{T}^d$, having a $d$-dimensional invariant torus $\mathcal{T}$. The map (resp. vector field) restricted to $\mathcal{T}$ defines a rotation of frequency $\omega$, and its derivative restricted to transversal directions ... | arxiv_math | {
"id": "2310.05630",
"title": "Invariant manifolds of maps and vector fields with nilpotent parabolic\n tori",
"authors": "Clara Cuf\\'i-Cabr\\'e and Ernest Fontich",
"categories": "math.DS",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
Let $n>m\geqslant 1$ be integers with $n+m\geqslant 4$ even. We prove the existence of Maass forms with large sup norms on anisotropic $\text{O} (n,m)$, by combining a counting argument with a new period relation showing that a certain orthogonal period on $\text{O} (n,m)$ distinguishes theta lifts fr... | arxiv_math | {
"id": "2309.06433",
"title": "Concentration properties of theta lifts on orthogonal groups",
"authors": "Farrell Brumley, Simon Marshall",
"categories": "math.NT math.AP",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
arxiv_math | {
"id": "2310.03207",
"title": "Universal slices of the category of graphs",
"authors": "Ioannis Eleftheriadis",
"categories": "math.CO math.CT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} | |
---
abstract: |
We give a necessary and sufficient condition for two circles, each with finitely many points added inside, to be betweenness isomorphic. We fully characterize the betweenness isomorphism classes in the family consisting of all circles with three collinear points inside.
address:
- |
Institute of Mat... | arxiv_math | {
"id": "2310.05708",
"title": "Betweenness isomorphism classes of circles with finitely many points\n inside",
"authors": "Martin Dole\\v{z}al, Jan Kol\\'a\\v{r}, Janusz Morawiec",
"categories": "math.MG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this paper, efficient alternating direction implicit (ADI) schemes are proposed to solve three-dimensional heat equations with irregular boundaries and interfaces. Starting from the well-known Douglas-Gunn ADI scheme, a modified ADI scheme is constructed to mitigate the issue of accuracy loss in so... | arxiv_math | {
"id": "2309.00979",
"title": "ADI schemes for heat equations with irregular boundaries and interfaces\n in 3D with applications",
"authors": "Han Zhou, Minsheng Huang, Wenjun Ying",
"categories": "math.NA cs.NA physics.comp-ph",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
Let $\mathcal{S}$ be a fixed family of graphs on vertex set $V$ and $\mathcal{G}$ be a collection of elements in $\mathcal{S}$. We investigated the transversal problem of finding the maximum value of $|\mathcal{G}|$ when $\mathcal{G}$ contains no rainbow elements in $\mathcal{S}$. Specifically, we det... | arxiv_math | {
"id": "2310.06354",
"title": "Transversals in a collections of trees",
"authors": "Ethan Y.H. Li, Luyi Li, Ping Li",
"categories": "math.CO",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this paper we show that a geodesic flow of a compact surface without conjugate points of genus greater than one is time-preserving semi-conjugate to a continuous expansive flow which is topologically mixing and has a local product structure. As an application we show that the geodesic flow of a com... | arxiv_math | {
"id": "2309.08091",
"title": "Geodesic flows of compact higher genus surfaces without conjugate points\n have expansive factors",
"authors": "Edhin Franklin Mamani",
"categories": "math.DS math.DG",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
By classical Fatou type theorems in various setups, it is well-known that positive harmonic functions have non-tangential limit at almost every point on the boundary. In this paper, in the setting of non-positively curved Harmonic manifolds of purely exponential volume growth, we are interested in the... | arxiv_math | {
"id": "2309.05661",
"title": "Boundary exceptional sets for radial limits of superharmonic functions\n on non-positively curved Harmonic manifolds of purely exponential volume\n growth",
"authors": "Utsav Dewan",
"categories": "math.CA math.DG",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
Let $\mathcal{A}$ be an associative algebra containing the classical or quantum universal enveloping algebra $U$ of a semi-simple complex Lie algebra. Let $\mathcal{J}\subset \mathcal{A}$ designate the left ideal generated by positive root vectors in $U$. We construct the reduction algebra of the pair... | arxiv_math | {
"id": "2309.05318",
"title": "Mickelsson algebras and inverse Shapovalov form",
"authors": "Andrey Mudrov, Vladimir Stukopin",
"categories": "math.QA math.RT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
The study of *random segments* is a classic issue in geometrical probability, whose complexity depends on how it is defined. But in apparently simple models, the random behavior is not immediate. In the present manuscript the following setting is considered. Let four independent random points that fol... | arxiv_math | {
"id": "2309.03032",
"title": "Angle between two random segments",
"authors": "Paulo Manrique-Mir\\'on",
"categories": "math.PR",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We study quasi-quadratic modules in a pseudo-valuation domain $A$ whose strict units admit a square root. Let $\mathfrak X_R^N$ denote the set of quasi-quadratic modules in an $R$-module $N$, where $R$ is a commutative ring. It is known that there exists a unique overring $B$ of $A$ such that $B$ is a... | arxiv_math | {
"id": "2310.04116",
"title": "Quasi-quadratic modules in pseudo-valuation domain",
"authors": "Masato Fujita, Masaru Kageyama",
"categories": "math.AC",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
Gradient methods are experiencing a growth in methodological and theoretical developments owing to the challenges of optimization problems arising in data science. Focusing on data science applications with expense objective function evaluations yet inexpensive gradient function evaluations, gradient ... | arxiv_math | {
"id": "2309.10894",
"title": "A Novel Gradient Methodology with Economical Objective Function\n Evaluations for Data Science Applications",
"authors": "Christian Varner, Vivak Patel",
"categories": "math.OC stat.CO",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We show how the bialgebra cohomologies of two Hopf algebras involved in an exact sequence are related, when the third factor is finite-dimensional cosemisimple. As an application, we provide a short proof of the computation of the bialgebra cohomology of the universal cosovereign Hopf algebras in the ... | arxiv_math | {
"id": "2309.10434",
"title": "Bialgebra cohomology and exact sequences",
"authors": "Julien Bichon (LMBP)",
"categories": "math.KT math.QA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
address: Department of Mathematics, University of California, Riverside CA, 92521, USA
author:
- John C. Baez
title: The Icosidodecahedron
---
{width="15em"}
1em The icosidodecahedron can be built by truncating either a regular icosahedron or a regular dodecahedron. It has 30 vertic... | arxiv_math | {
"id": "2309.15774",
"title": "The Icosidodecahedron",
"authors": "John C. Baez",
"categories": "math.CO math.GR math.HO",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
address: BCAM -- Basque Center for Applied Mathematics, Bilbao, Spain and IKERBASQUE, Basque Foundation for Science, Bilbao, Spain
author:
- Ilya Smirnov
bibliography:
- refs.bib
title: An invitation to equimultiplicity of F-invariants
---
*Dedicated to Craig and Mel for putting the wind in our sails.*
# Introduc... | arxiv_math | {
"id": "2309.04322",
"title": "An invitation to equimultiplicity of F-invariants",
"authors": "Ilya Smirnov",
"categories": "math.AG math.AC",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We study the asymptotics of bounded lecture hall tableaux. Limit shapes form when the bounds of the lecture hall tableaux go to infinity linearly in the lengths of the partitions describing the large-scale shapes of these tableaux. We prove Conjecture 6.1 in [@SKN21], stating that the slopes of the re... | arxiv_math | {
"id": "2309.15235",
"title": "Asymptotics of Bounded Lecture-Hall Tableaux",
"authors": "David Keating, Zhongyang Li, Istvan Prause",
"categories": "math.PR math.CO",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
The Eichler-Shimura isomorphism describes a certain cohomology group with coefficients in a space of polynomials by using holomorphic modular/cusp forms. It determines a canonical decomposition of the corresponding de Rham cohomology group associated to a specific oper on a Riemann surface. One purpos... | arxiv_math | {
"id": "2309.11750",
"title": "Infinitesimal deformations of opers in positive characteristic and the\n de Rham cohomology of symmetric products",
"authors": "Yasuhiro Wakabayashi",
"categories": "math.AG",
"license": "http://creativecommons.org/publicdomain/zero/1.0/"
} |
---
abstract: |
Define the minimal excludant of an overpartition $\pi$, denoted $\overline{\text{mex}}({\pi})$, to be the smallest positive integer that is not a part of the non-overlined parts of $\pi$. For a positive integer $n$, the function $\sigma \overline{\text{mex}}({n})$ is the sum of the minimal excludants ... | arxiv_math | {
"id": "2309.04398",
"title": "Minimal Excludant over Overpartitions",
"authors": "Victor Manuel R. Aricheta, Judy Ann L. Donato",
"categories": "math.NT",
"license": "http://creativecommons.org/licenses/by-sa/4.0/"
} |
---
abstract: |
Let $G$ be the Grothendieck group of a commutative monoid $M$. We prove that for any multiplicative set $S$ of homogeneous elements of an $M$-graded ring $R=\bigoplus\limits_{m\in M}R_{m}$, then the localization ring $S^{-1}R=\bigoplus\limits_{x\in G}(S^{-1}R)_{x}$ is a $G$-graded ring where each homo... | arxiv_math | {
"id": "2309.15620",
"title": "Grading of homogeneous localization by the Grothendieck group",
"authors": "Abolfazl Tarizadeh",
"categories": "math.AC math.AG math.GR math.RA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We consider the 3D or 2D primitive equations for oceans and atmosphere in the isothermal setting. In this paper, we establish a new conditional uniqueness result for weak solutions to the primitive equations, that is, if a weak solution belongs some scaling invariant function spaces, and satisfies som... | arxiv_math | {
"id": "2309.03443",
"title": "Uniqueness of weak solutions to the primitive equations in some\n anisotropic spaces",
"authors": "Tim Binz, Yoshiki Iida",
"categories": "math.AP",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this paper, we determine the transverse instability of periodic standing wave solutions for the generalized Schrödinger equation with fractional power nonlinearity. The existence of periodic waves is determined by using a constrained minimization problem in the complex setting, and it is shown that... | arxiv_math | {
"id": "2310.03467",
"title": "Transverse instability of periodic standing waves for the generalized\n nonlinear Schrodinger equation",
"authors": "Fabio Natali and Gabriel E. Bittencourt Moraes",
"categories": "math.AP",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
Considering the damped wave equation with a Gaussian noise $F$ where $F$ is white in time and has a covariance function depending on spatial variables, we will see that this equation has a mild solution which is stationary in time $t$. We define a weakly self-avoiding polymer with intrinsic length $J$... | arxiv_math | {
"id": "2310.01631",
"title": "The damped wave equation and associated polymer",
"authors": "Yuanyuan Pan",
"categories": "math.PR",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
address: |
ТПО « Северный Очаг»\
Россия
---
**О финитной отделимости конечно порожденных коммутативных колец**
**© Станислав Кублановский**
Установлены необходимые и достаточные условия финитной отделимости конечно порожденных коммутативных колец. Доказано, что каждое такое кольцо суть конечное расширение н... | arxiv_math | {
"id": "2310.03868",
"title": "On the finite separability of finitely generated commutative rings",
"authors": "Stanislav Kublanovsky",
"categories": "math.RA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
A dimer model is a quiver with faces embedded in a surface. We define and investigate notions of consistency for dimer models on general surfaces with boundary which restrict to well-studied consistency conditions in the disk and torus case. We define weak consistency in terms of the associated dimer ... | arxiv_math | {
"id": "2310.02454",
"title": "Consistent Dimer Models on Surfaces with Boundary",
"authors": "Jonah Berggren, Khrystyna Serhiyenko",
"categories": "math.CO math.AG math.RT",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
In this paper we study natural reconfiguration spaces associated to the problem of distributing a fixed number of resources to labeled nodes of a tree network, so that no node is left empty. These spaces turn out to be cubical complexes, which can be thought of as higher-dimensional geometric extensio... | arxiv_math | {
"id": "2309.17142",
"title": "Stirling complexes",
"authors": "Dmitry N. Kozlov",
"categories": "math.CO math.AT",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
Iterative gradient-based optimization algorithms are widely used to solve difficult or large-scale optimization problems. There are many algorithms to choose from, such as gradient descent and its accelerated variants such as Polyak's Heavy Ball method or Nesterov's Fast Gradient method. It has long b... | arxiv_math | {
"id": "2309.11377",
"title": "A Tutorial on a Lyapunov-Based Approach to the Analysis of Iterative\n Optimization Algorithms",
"authors": "Bryan Van Scoy and Laurent Lessard",
"categories": "math.OC cs.SY eess.SY",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
The $2$-packing number $\rho_2(G)$ of a graph $G$ is the cardinality of a largest $2$-packing of $G$ and the open packing number $\rho^{\rm o}(G)$ is the cardinality of a largest open packing of $G$, where an open packing (resp. $2$-packing) is a set of vertices in $G$ no two (closed) neighborhoods of... | arxiv_math | {
"id": "2309.04963",
"title": "Packings in bipartite prisms and hypercubes",
"authors": "Bo\\v{s}tjan Bre\\v{s}ar, Sandi Klav\\v{z}ar, Douglas F. Rall",
"categories": "math.CO",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
arxiv_math | {
"id": "2310.04642",
"title": "On two conjectural series involving Riemann zeta function",
"authors": "Chuanan Wei, Ce Xu",
"categories": "math.CO",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} | |
---
abstract: |
The Reynolds equation, combined with the Elrod algorithm for including the effect of cavitation, resembles a nonlinear convection-diffusion-reaction (CDR) equation. Its solution by finite elements is prone to oscillations in convection-dominated regions, which are present whenever cavitation occurs. W... | arxiv_math | {
"id": "2310.06066",
"title": "Stabilized finite elements for the solution of the Reynolds equation\n considering cavitation",
"authors": "Hauke Gravenkamp, Simon Pfeil, Ramon Codina",
"categories": "math.NA cs.NA",
"license": "http://creativecommons.org/licenses/by-nc-nd/4.0/"
} |
---
abstract: |
Explicit formulae are given for the nine possible induced matrix norms corresponding to the $1$-, $2$-, and $\infty$-norms for Euclidean space. The complexity of computing these norms is investigated.
author:
- "Andrew D. Lewis[^1]"
date: 2010/03/20
title: "A top nine list: Most popular induced matrix... | arxiv_math | {
"id": "2309.07190",
"title": "A top nine list: Most popular induced matrix norms",
"authors": "Andrew D. Lewis",
"categories": "math.FA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
Consider the polynomial $p:\mathbb{R}_+^2 \rightarrow (0,\infty)$ in two variables given by $p(x,y)=a(x)+b(x)y+y^2,$ where $a(x)=a_0(x+a_1)(x+a_2), b(x)=b_0(x+b_1)$, $a_0, a_1,a_2,b_0,b_1 \in \mathbb{R}$ with $a_1 \leqslant a_2$. In this paper, we obtain same set of necessary and sufficient conditions... | arxiv_math | {
"id": "2310.04785",
"title": "Joint complete monotonicity in two variables with an application to the\n Cauchy dual subnormality problem",
"authors": "Rajkamal Nailwal",
"categories": "math.FA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
arxiv_math | {
"id": "2310.03168",
"title": "Analysis of a space-time phase-field fracture complementarity model and\n its optimal control formulation",
"authors": "Denis Khimin, Johannes Lankeit, Marc C. Steinbach, Thomas Wick",
"categories": "math.OC",
"license": "http://creativecommons.org/licenses/by-nc-nd/4.0/"
} | |
---
abstract: |
Let $G$ be an undirected simple connected graph. We say a vertex $u$ is eccentric to a vertex $v$ in $G$ if $d(u,v)=\max\{d(v,w): w\in V(G)\}$. The eccentric graph, $E(G)$ of $G$ is a graph defined on the same vertex set as of $G$ and two vertices are adjacent if one is eccentric to the other. We find... | arxiv_math | {
"id": "2309.06338",
"title": "Eccentric graph of trees and their Cartesian products",
"authors": "Anita Arora, Rajiv Mishra",
"categories": "math.CO",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We exhibit closed hyperbolic manifolds with arbitrarily small systole in each dimension that are not quasi-arithmetic in the sense of Vinberg, and are thus not commensurable to those constructed by Agol, Belolipetsky--Thomson, and Bergeron--Haglund--Wise. This is done by taking hybrids of the manifold... | arxiv_math | {
"id": "2309.16051",
"title": "Systoles of hyperbolic hybrids",
"authors": "Sami Douba",
"categories": "math.GR math.GT math.NT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this paper, we first study the dual fractional parabolic equation $$\partial^\alpha_t u(x,t)+(-\Delta)^s u(x,t) = f(u(x,t))\ \ \mbox{in}\ \ B_1(0)\times\mathbb{R},$$ subject to the vanishing exterior condition. We show that for each $t\in\mathbb{R}$, the positive bounded solution $u(\cdot,t)$ must... | arxiv_math | {
"id": "2309.03429",
"title": "A Liouville Theorem and Radial Symmetry for dual fractional parabolic\n equations",
"authors": "Yahong Guo, Lingwei Ma, Zhenqiu Zhang",
"categories": "math.AP",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
The primary purpose of this paper is to study the Wiener-type regularity criteria for non-linear equations driven by integro-differential operators, whose model is the fractional $p-$Laplace equation. In doing so, with the help of tools from potential analysis, such as fractional relative Sobolev capa... | arxiv_math | {
"id": "2309.02408",
"title": "Wiener type regularity for non-linear integro-differential equations",
"authors": "Shaoguang Shi, Guanglan Wang, Zhichun Zhai",
"categories": "math.AP",
"license": "http://creativecommons.org/licenses/by-nc-sa/4.0/"
} |
---
abstract: |
**Abstract.** Given a positive integer $n$, we consider the group algebra of the symmetric group $S_{n}$. In this algebra, we define $n$ elements $t_{1},t_{2},\ldots,t_{n}$ by the formula $$t_{\ell}:=\operatorname*{cyc}\nolimits_{\ell}+\operatorname*{cyc}%
\nolimits_{\ell,\ell+1}+\operatorname*{cyc}... | arxiv_math | {
"id": "2309.05340",
"title": "Commutator nilpotency for somewhere-to-below shuffles",
"authors": "Darij Grinberg",
"categories": "math.CO math.RA",
"license": "http://creativecommons.org/publicdomain/zero/1.0/"
} |
---
abstract: |
The subpower membership problem $\mathop{\mathrm{SMP}}(\mathbf{A})$ of a finite algebraic structure $\mathbf{A}$ asks whether a given partial function from $A^k$ to $A$ can be interpolated by a term operation of $\mathbf{A}$, or not. While this problem can be EXPTIME-complete in general, Willard asked... | arxiv_math | {
"id": "2309.16549",
"title": "The subpower membership problem of 2-nilpotent algebras",
"authors": "Michael Kompatscher",
"categories": "math.RA cs.CC",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We propose a homogenized supremal functional rigorously derived via power-law approximation by functionals of the type $\underset{x\in\Omega}{\mbox{ess-sup}}\hspace{0.03cm}f\left(\frac{x}{\varepsilon}, Du\right)$, when $\Omega$ is a bounded open set of $\mathbb R^n$ and $u\in W^{1,\infty}(\Omega;\math... | arxiv_math | {
"id": "2310.01175",
"title": "Homogenization of supremal functionals in vectorial setting (via\n power-law approximation)",
"authors": "Lorenza D'Elia, Michela Eleuteri and Elvira Zappale",
"categories": "math.AP",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We study the eigenvalue clusters of the Robin Laplacian on the 2-dimensional hemisphere with a variable Robin coefficient on the equator. The $\ell$'th cluster has $\ell+1$ eigenvalues. We determine the asymptotic density of eigenvalues in the $\ell$'th cluster as $\ell$ tends to infinity. This densit... | arxiv_math | {
"id": "2309.07044",
"title": "Eigenvalue clusters for the hemisphere Laplacian with variable Robin\n condition",
"authors": "Alexander Pushnitski and Igor Wigman",
"categories": "math.SP",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We show that pseudo-composition algebras and train algebras of rank 3 generated by idempotents are characterized as axial algebras with fusion laws derived from the Peirce decompositions of idempotents in these classes of algebras.
The corresponding axial algebras are called $\mathcal{PC}(\eta)$-ax... | arxiv_math | {
"id": "2309.05237",
"title": "Axial view on pseudo-composition algebras and train algebras of rank 3",
"authors": "Ilya Gorshkov, Andrey Mamontov and Alexey Staroletov",
"categories": "math.RA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
This paper presents a new formula for the $q$-shift operator, building on the techniques by Liu and Sears. This formula provides fresh proof of the Carlitz formula and extends it naturally. As applications, we derive an equivalent form of the generalized Carlitz formula to prove two $q$-congruences on... | arxiv_math | {
"id": "2309.00659",
"title": "Representing Carlitz formula with q-shift operator",
"authors": "Dunkun Yang",
"categories": "math.NT math.CO",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We prove the Ramanujan and Sato--Tate conjectures for Bianchi modular forms of weight at least $2$. More generally, we prove these conjectures for all regular algebraic cuspidal automorphic representations of $\mathop{\mathrm{GL}}_2(\mathbf{A}_F)$ of parallel weight, where $F$ is any CM field. We dedu... | arxiv_math | {
"id": "2309.15880",
"title": "The Ramanujan and Sato-Tate Conjectures for Bianchi modular forms",
"authors": "George Boxer, Frank Calegari, Toby Gee, James Newton and Jack A.\n Thorne",
"categories": "math.NT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
Valued constraint satisfaction problems (VCSPs) are a large class of computational optimisation problems. If the variables of a VCSP take values from a finite domain, then recent results in constraint satisfaction imply that the problem is in P or NP-complete, depending on the set of admitted cost fun... | arxiv_math | {
"id": "2309.15654",
"title": "The Complexity of Resilience Problems via Valued Constraint Satisfaction\n Problems",
"authors": "Manuel Bodirsky, \\v{Z}aneta Semani\\v{s}inov\\'a, Carsten Lutz",
"categories": "math.LO cs.CC cs.DB",
"license": "http://creativecommons.org/licenses/by-sa/4.0/"
} |
---
abstract: |
We introduce the abstract notion of a *smoothable fine compactified Jacobian* of a nodal curve, and of a family of nodal curves whose general element is smooth. Then we introduce the notion of a combinatorial stability condition for line bundles and their degenerations.
We prove that smoothable fin... | arxiv_math | {
"id": "2309.08509",
"title": "Stability conditions for line bundles on nodal curves",
"authors": "Nicola Pagani and Orsola Tommasi",
"categories": "math.AG math.CO",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this paper, we consider a scaling limit of some branching random walk in random environment whose off-spring distribution has infinite variance. The Laplace functional of the limiting super-process is given by $\mathbb{E}\left[e^{-\langle\mu_t,\varphi_0\rangle}\right] = e^{-\langle\mu_0,U_t(\varphi... | arxiv_math | {
"id": "2309.09551",
"title": "A Generalized Rough Super Brownian Motion",
"authors": "Ruhong Jin",
"categories": "math.PR",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We consider sewing machinery between finite difference and analytical solutions defined at different scales: far away and near the source of the perturbation of the flow. One of the essences of the approach is that coarse problem and boundary value problem in the proxy of the source model two differen... | arxiv_math | {
"id": "2309.05372",
"title": "Peaceman Well Block Problem For Time-Dependent Flows of Compressible\n Fluid",
"authors": "A. Ibraguimov, E. Zakirov, I. Indrupskiy, D. Anikeev, A. Zhaglova",
"categories": "math.NA cs.NA",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We generalise the notion of the Tate--Šafarevič group $\Sha(S/\mathbb{P}^1)$ of an elliptic K3 surface $S\xymatrix@1@=15pt{\ar[r]&}\mathbb{P}^1$ with a section to $\Sha(S,h)$ of a K3 surface $S$ endowed with a linear system $|h|$. The construction, which uses Grothendieck's special Brauer group, provi... | arxiv_math | {
"id": "2310.04032",
"title": "The special Brauer group and twisted Picard varieties",
"authors": "Daniel Huybrechts and Dominique Mattei",
"categories": "math.AG",
"license": "http://creativecommons.org/licenses/by-sa/4.0/"
} |
---
abstract: |
In this paper, the nonlinear (orbital) stability of static $\pi$-shifted Néel walls in ferromagnetic films, under the reduced wave-type dynamics for the in-plane magnetization proposed by Capella, Melcher and Otto [@CMO07], is established. It is proved that the spectrum of the linearized operator arou... | arxiv_math | {
"id": "2309.04432",
"title": "Nonlinear Stability of Static N\\'eel Walls in Ferromagnetic Thin Films",
"authors": "A. Capella, C. Melcher, L. Morales, R. G. Plaza",
"categories": "math.AP math.SP",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
Let $n$ be a positive integer and $G$ be a transitive permutation subgroup of $S_n$. Given a number field $K$ with $[K:\mathbb{Q}]=n$, we let $\widetilde{K}$ be its Galois closure over $\mathbb{Q}$ and refer to $\operatorname{Gal}(\widetilde{K}/\mathbb{Q})$ as its Galois group. We may identify this Ga... | arxiv_math | {
"id": "2310.00601",
"title": "Upper bounds for the number of number fields with prescribed Galois\n group",
"authors": "Hrishabh Mishra, Anwesh Ray",
"categories": "math.NT",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
In this paper, we investigate a class of McKean-Vlasov stochastic differential equations under Lévy-type perturbations. We first establish the existence and uniqueness theorem for solutions of the McKean-Vlasov stochastic differential equations by utilizing the Euler-like approximation. Then under som... | arxiv_math | {
"id": "2309.02906",
"title": "Well-posedness and averaging principle for L\\'evy-type McKean-Vlasov\n stochastic differential equations under local Lipschitz conditions",
"authors": "Ying Chao, Jinqiao Duan, Ting Gao, Pingyuan Wei",
"categories": "math.PR",
"license": "http://arxiv.org/licenses/nonexclusiv... |
---
abstract: |
In view of the recent proofs of the $P=W$ conjecture, the present paper reviews and relate the latest results in the non abelian Hodge theory of curves, with a view on how $P=W$ phenomena appear in multiple areas of algebraic geometry. Finally, we retrace the history of results on the conjecture up to... | arxiv_math | {
"id": "2309.15061",
"title": "$P=W$ phenomena in algebraic and enumerative geometry",
"authors": "Camilla Felisetti",
"categories": "math.AG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this work is considered a diffusion problem, referred to as the *Ventcel problem*, involving a second order term on the domain boundary (the Laplace-Beltrami operator). A variational formulation of the Ventcel problem is studied, leading to a finite element discretization. The focus is on the const... | arxiv_math | {
"id": "2309.02437",
"title": "A priori error estimates of a diusion equation with Ventcel boundary\n conditions on curved meshes",
"authors": "Fabien Caubet (LMAP), Joyce Ghantous (LMAP), Charles Pierre (LMAP)",
"categories": "math.NA cs.NA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"... |
---
abstract: |
Unprojection theory is a philosophy due to Miles Reid, which becomes a useful tool in algebraic geometry for the construction and the study of new interesting geometric objects such as algebraic surfaces and 3-folds. In this present work we introduce a new format of unprojection, which wecall the 4-in... | arxiv_math | {
"id": "2309.03334",
"title": "The 4-Intersection Unprojection Format",
"authors": "Vasiliki Petrotou",
"categories": "math.AG math.AC",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
A stabilizer based on the forwarding technique is proposed for semilinear infinite-dimensional systems in cascade form. Sufficient conditions for local exponentially stability and global asymptotic stability of the closed-loop are derived. Results for the problem of local set-point output regulation a... | arxiv_math | {
"id": "2310.05486",
"title": "On forwarding techniques for stabilization and set-point output\n regulation of semilinear infinite-dimensional systems",
"authors": "Nicolas Vanspranghe, Lucas Brivadis (L2S), Lassi Paunonen",
"categories": "math.OC",
"license": "http://arxiv.org/licenses/nonexclusive-distrib... |
---
abstract: |
We prove that if $E\subseteq \mathbb{R}^2$ is analytic and $1<d < \dim_H(E)$, there are "many" points $x\in E$ such that the Hausdorff dimension of the pinned distance set $\Delta_x E$ is at least $d\left(1 - \frac{\left(D-1\right)\left(D-d\right)}{2D^2+\left(2-4d\right)D+d^2+d-2}\right)$, where $D = ... | arxiv_math | {
"id": "2309.11701",
"title": "Dimension of Pinned Distance Sets for Semi-Regular Sets",
"authors": "Jacob B. Fiedler and D. M. Stull",
"categories": "math.CA math.LO",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
In this work, we provide deterministic error bounds for the actual state evolution of nonlinear systems embedded with the linear parametric variable (LPV) formulation and steered by model predictive control (MPC). The main novelty concerns the explicit derivation of these deterministic bounds as polyt... | arxiv_math | {
"id": "2310.01049",
"title": "Error Bounds in Nonlinear Model Predictive Control with Linear\n Differential Inclusions of Parametric-Varying Embeddings",
"authors": "Dimitrios S. Karachalios and Maryam Nezami and Georg Schildbach and\n Hossameldin S. Abbas",
"categories": "math.OC",
"license": "http://cre... |
---
abstract: |
This paper is inspired by an imaging problem encountered in the framework of Electrical Resistance Tomography involving two different materials, one or both of which are nonlinear. Tomography with nonlinear materials is in the early stages of developments, although breakthroughs are expected in the no... | arxiv_math | {
"id": "2309.15206",
"title": "The p-Laplace \"Signature\" for Quasilinear Inverse Problems with Large\n Boundary Data",
"authors": "A. Corbo Esposito, L. Faella, G. Piscitelli, R. Prakash, A. Tamburrino",
"categories": "math.AP",
"license": "http://creativecommons.org/publicdomain/zero/1.0/"
} |
---
abstract: |
We derive in this paper Gaussian estimates for a general parabolic equation $u_{t}-\big(a(x)u_{x}\big)_x= r(x)u$ over $\mathbb{R}$. Here $a$ and $r$ are only assumed to be bounded, measurable and $\mathrm{essinf}_\mathbb{R}a>0$. We first consider a canonical equation $\nu (x) \partial_{t}p - \partial_... | arxiv_math | {
"id": "2310.01048",
"title": "Gaussian estimates for general parabolic operators in dimension 1",
"authors": "Gr\\'egoire Nadin (IDP, CNRS)",
"categories": "math.AP",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
author:
- John M. O'Brien
bibliography:
- references.bib
title: Homology of loops on a splitting-rank symmetric space via the Geometric Satake for real groups
---
# Introduction {#introduction .unnumbered}
Let $G$ be a complex reductive group with compact form $G_c$. The Geometric Langlands Correspondence predict... | arxiv_math | {
"id": "2309.09935",
"title": "Homology of loops on a splitting-rank symmetric space via the Geometric\n Satake for real groups",
"authors": "John O'Brien",
"categories": "math.RT math.AG math.NT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
To a Riemannian manifold $(M,g)$ endowed with a magnetic form $\sigma$ and its Lorentz operator $\Omega$ we associate an operator $M^{\Omega}$, called the *magnetic curvature operator*. Such an operator encloses the classical Riemannian curvature of the metric $g$ together with terms of perturbation d... | arxiv_math | {
"id": "2309.03159",
"title": "Magnetic curvature and existence of closed magnetic geodesics on low\n energy levels",
"authors": "Valerio Assenza",
"categories": "math.SG math.DG math.DS",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
Let $\mathcal S$ be a finite set of integer points in $\mathbb{R}^d$, which we assume has many symmetries, and let $P\in\mathbb{R}^d$ be a fixed point. We calculate the distances from $P$ to the points in $\mathcal S$ and compare the results. In some of the most common cases, we find that they lead to... | arxiv_math | {
"id": "2309.15338",
"title": "Counterintuitive patterns on angles and distances between lattice points\n in high dimensional hypercubes",
"authors": "Jack Anderson, Cristian Cobeli, Alexandru Zaharescu",
"categories": "math.CO math.NT",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We prove the finiteness of the kernel of the localization map in the Galois cohomology of a connected reductive group over a global field.
author:
- Dylon Chow
bibliography:
- biblio.bib
title: A Finiteness Theorem in Galois Cohomology
---
# Introduction
The purpose of this note is to prove:
**Theo... | arxiv_math | {
"id": "2309.11769",
"title": "A finiteness theorem in Galois cohomology",
"authors": "Dylon Chow",
"categories": "math.NT math.AG",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
In their 1988 paper "Gluing of perverse sheaves and discrete series representations,\" D. Kazhdan and G. Laumon constructed an abelian category $\mathcal{A}$ associated to a reductive group $G$ over a finite field with the aim of using it to construct discrete series representations of the finite Chev... | arxiv_math | {
"id": "2309.13462",
"title": "Polishchuk's conjecture and Kazhdan-Laumon representations",
"authors": "Calder Morton-Ferguson",
"categories": "math.RT math.AG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We study $\mathcal{D}$-modules and related invariants on the space of $2\times 2\times n$ hypermatrices for $n\geq 3$, which has finitely many orbits under the action of $G=\operatorname{GL}_2(\mathbb{C}) \times \operatorname{GL}_2(\mathbb{C}) \times \operatorname{GL}_n(\mathbb{C})$. We describe the c... | arxiv_math | {
"id": "2309.07697",
"title": "Equivariant D-modules on 2x2xn hypermatrices",
"authors": "Andr\\'as C. L\\H{o}rincz, Michael Perlman",
"categories": "math.AG math.AC math.RT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
This paper is concerned with the mean curvature flow, which describes the dynamics of a hypersurface whose normal velocity is determined by local mean curvature. We present a Cartesian grid-based method for solving mean curvature flows in two and three space dimensions. The present method embeds a clo... | arxiv_math | {
"id": "2309.05963",
"title": "An Alternating Direction Implicit Method for Mean Curvature Flows",
"authors": "Han Zhou, Shuwang Li, Wenjun Ying",
"categories": "math.NA cs.NA physics.comp-ph",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We implemented active learning pedagogy in teaching and learning an introductory course of linear algebra at the tertiary level. We adopted a flipped classroom approach for several semesters and collected students' perceptions regarding the pedagogy. A questionnaire is distributed and collected at the... | arxiv_math | {
"id": "2309.16259",
"title": "Enhancing flipped classroom pedagogy in linear algebra through machine\n learning",
"authors": "S. Laudari and N. Karjanto",
"categories": "math.HO",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this article, we establish initially regular sequences on cycles of the form $C_{3n+2}$ for $n\ge 1$, in the sense of [@FHM-ini]. These sequences accurately compute the depth of these cycles, completing the case of finding effective initially regular sequences on cycles. Our approach involves a car... | arxiv_math | {
"id": "2309.07286",
"title": "Initially Regular Sequences on Cycles and Depth of Unicyclic Graphs",
"authors": "Le Tran",
"categories": "math.AC",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We describe a rigidity phenomenon exhibited by the second Chern Ricci curvature of a Hermitian metric on a compact complex manifold. This yields a characterisation of second Chern Ricci-flat Hermitian metrics on several types of manifolds as well as a range of non-existence results for such metrics.
a... | arxiv_math | {
"id": "2309.10295",
"title": "Hermitian metrics with vanishing second Chern Ricci curvature",
"authors": "Kyle Broder and Artem Pulemotov",
"categories": "math.DG math.CV",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
author:
- Tao Hao[^1] , Jiaqiang Wen[^2] , Jie Xiong[^3]
title: "**Maximum principle for a Markovian regime switching system under model uncertainty** "
---
**Abstract: In this paper, we study a stochastic optimal control problem with a Markovian regime switching system, where the coefficients of the state ... | arxiv_math | {
"id": "2309.10454",
"title": "Maximum principle for a Markovian regime switching system under model\n uncertainty",
"authors": "Tao Hao, Jiaqiang Wen, Jie Xiong",
"categories": "math.OC",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
Let $\overline{M}$ be a compact smoothly stratified pseudo-manifold endowed with a wedge metric $g$. Let $\overline{M}_\Gamma$ be a Galois $\Gamma$-covering. Under additional assumptions on $\overline{M}$, satisfied for example by Witt pseudo-manifolds, we show that the $L^2$-Betti numbers and the Nov... | arxiv_math | {
"id": "2310.05721",
"title": "Stability of $L^2-$invariants on stratified spaces",
"authors": "Francesco Bei, Paolo Piazza, Boris Vertman",
"categories": "math.DG math.GT",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
arxiv_math | {
"id": "2310.04587",
"title": "Strongly finitary monads and multi-sorted varieties enriched in\n cartesian closed concrete categories",
"authors": "Jason Parker",
"categories": "math.CT cs.LO math.LO",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} | |
---
abstract: |
The interior regularity of area-minimizing integral currents and semi-calibrated currents has been studied extensively in recent decades, with sharp dimension estimates established on their interior singular sets in any dimension and codimension. In stark contrast, the best result in this direction fo... | arxiv_math | {
"id": "2309.09634",
"title": "Flat interior singularities for area almost-minimizing currents",
"authors": "Max Goering, Anna Skorobogatova",
"categories": "math.AP math.DG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
On the diophantine equation $An!+Bm!=f(x,y)$\
Sa$\mathrm{\check{s}}$a Novakovi$\mathrm{\acute{c}}$\
September 2023\
**Abstract**. Erdös and Obláth proved that the equation $n!\pm m!=x^p$ has only finitely many integer solutions. More general, under the ABC-conjecture, Luca showed that $P(x)=An!+Bm!$ has finitely many... | arxiv_math | {
"id": "2309.15007",
"title": "On the diophantine equation $An!+Bm!=f(x,y)$",
"authors": "Sa\\v{s}a Novakovi\\'c",
"categories": "math.NT math.AG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
This work is devoted to generating optimal guidance commands in real time for attitude-constrained solar sailcrafts in coplanar circular-to-circular interplanetary transfers. Firstly, a nonlinear optimal control problem is established, and necessary conditions for optimality are derived by the Pontrya... | arxiv_math | {
"id": "2309.09018",
"title": "Real-time optimal control for attitude-constrained solar sailcrafts via\n neural networks",
"authors": "Kun Wang, Fangmin Lu, Zheng Chen, Jun Li",
"categories": "math.OC",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
It is known that an automorphism of $F_g$, the oriented closed surface of genus $g$, is extendable over the 4-sphere $S^4$ if and only if it has a bounding invariant spin structure [@WsWz].
We show that each automorphism of $F_g$ has an invariant spin structure, and obtain a stably extendable resul... | arxiv_math | {
"id": "2310.05783",
"title": "Extendability over the $4$-sphere and invariant spin structures of\n surface automorphisms",
"authors": "Weibiao Wang and Zhongzi Wang",
"categories": "math.GT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this paper, by using the spectral theory of functions and properties of evolution semigroups, we establish conditions on the existence, and uniqueness of asymptotic 1-periodic solutions to a class of abstract differential equations with infinite delay of the form $$\frac{d u(t)}{d t}=A u(t)+L(u_t)+... | arxiv_math | {
"id": "2309.02679",
"title": "Asymptotic periodic solutions of differential equations with infinite\n delay",
"authors": "Nguyen Duc Huy, Le Anh Minh, Vu trong Luong, and Nguyen Ngoc Vien",
"categories": "math.CA math.AP",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We study the four plactic-like monoids that arise by taking the meets and joins of stalactic and taiga congruences. We obtain the combinatorial objects associated with the meet monoids, establishing Robinson--Schensted-like correspondences and giving extraction and iterative insertion algorithms for t... | arxiv_math | {
"id": "2309.10184",
"title": "Plactic-like monoids arising from meets and joins of stalactic and taiga\n congruences",
"authors": "Thomas Aird and Duarte Ribeiro",
"categories": "math.RA math.CO",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this paper, we study a tumor growth model where the growth is driven by nutrient availability and the tumor expands according to Darcy's law with a mechanical pressure resulting from the incompressibility of the cells. Our focus is on the free boundary regularity of the tumor patch that holds beyon... | arxiv_math | {
"id": "2309.05971",
"title": "Free boundary regularity for tumor growth with nutrients and diffusion",
"authors": "Carson Collins, Matt Jacobs, Inwon Kim",
"categories": "math.AP",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
The quadratic penalty alternating minimization (AM) method is widely used for solving the convex $\ell_1$ total variation (TV) image deblurring problem. However, quadratic penalty AM for solving the nonconvex nonsmooth $\ell_p$, $0 < p < 1$ TV image deblurring problems is less studied. In this paper, ... | arxiv_math | {
"id": "2309.05204",
"title": "Accelerated Proximal Iterative re-Weighted $\\ell_1$ Alternating\n Minimization for Image Deblurring",
"authors": "Tarmizi Adam, Alexander Malyshev, Mohd Fikree Hassan, Nur Syarafina\n Mohamed, Md Sah Hj Salam",
"categories": "math.OC",
"license": "http://creativecommons.org/... |
---
abstract: |
In this paper, we study the optimal dividend problem under the continuous time diffusion model with the dividend rate being restricted in a given interval $[0,a]$. Unlike the standard literature, we shall particularly be interested in the case when the parameters (e.g. drift and diffusion coefficients... | arxiv_math | {
"id": "2309.10242",
"title": "Reinforcement Learning for optimal dividend problem under diffusion\n model",
"authors": "Lihua Bai, Thejani Gamage, Jin Ma, Pengxu Xie",
"categories": "math.OC",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We consider a lattice polytope in the $xy$-plane such that each edge is parallel to the $x$-axis or the $y$-axis. In [@N], we investigated transformations of certain lattice polytopes, and we considered the reduced graph that is obtained from deformations of a graph associated with a lattice polytope.... | arxiv_math | {
"id": "2310.00218",
"title": "Transformations of lattice polytopes and their associated dotted graphs",
"authors": "Inasa Nakamura",
"categories": "math.GT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this paper, we give an algorithm for describing the Weinstein presentation of Weinstein subdomains obtained by carving out regular Lagrangians. Our work generalizes previous work in dimension three and requires a novel Legendrian isotopy move (the "boat move\") that changes the local index of Reeb ... | arxiv_math | {
"id": "2310.03133",
"title": "Weinstein presentations for high-dimensional antisurgery",
"authors": "Ipsita Datta, Oleg Lazarev, Chindu Mohanakumar, and Angela Wu",
"categories": "math.SG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
Conformal dimension of a metric space $X$, denoted by $\dim_C X$, is the infimum of the Hausdorff dimension among all its quasisymmetric images. If conformal dimension of $X$ is equal to its Hausdorff dimension, $X$ is said to be *minimal for conformal dimension*. In this paper we show that the graph ... | arxiv_math | {
"id": "2309.02350",
"title": "Conformal Dimension of the Brownian Graph",
"authors": "Ilia Binder, Hrant Hakobyan, Wen-Bo Li",
"categories": "math.MG math.PR",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
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