content stringlengths 0 625k | subset stringclasses 1
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|---|---|---|
---
abstract: |
In this paper we study the actions of tori (standard compact tori, as well as their quaternionic analogues) on products of spheres. It is proved that the orbit space of a specific action of a torus on a product of spheres is homeomorphic to a sphere. A similar statement for a real torus $\mathbb{Z}_2^... | arxiv_math | {
"id": "2309.05611",
"title": "On actions of tori and quaternionic tori on products of spheres",
"authors": "Anton Ayzenberg and Dmitry Gugnin",
"categories": "math.AT",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We proved a Bernstein theorem for ancient solution to symplectic mean curvature flow via the complex phase map .
author:
- "Xiangzhi Cao[^1] [^2]"
bibliography:
- "E:/myonlybib/myonlymathscinetbibfrom2023.bib"
- "E:/myonlybib/low-quality-bib-to-publish.bib"
- "C:/Users/Administrator/Desktop/old/mybib... | arxiv_math | {
"id": "2309.16478",
"title": "A Bernstein theorem for ancient solution to symplectic mean curvature\n flow",
"authors": "Xiangzhi Cao",
"categories": "math.DG",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
There are many group-based cryptosystems in which the security relies on the difficulty of solving Conjugacy Search Problem (CSP) and Simultaneous Conjugacy Search Problem (SCSP) in their underlying platform groups. In this paper we give a cryptanalysis of these systems which use certain semidirect pr... | arxiv_math | {
"id": "2309.13928",
"title": "Cryptanalysis of protocols using (Simultaneous) Conjugacy Search Problem\n in certain Metabelian Platform Groups",
"authors": "Delaram Kahrobaei, Carmine Monetta, Ludovic Perret, Maria Tota,\n Martina Vigorito",
"categories": "math.GR cs.CR",
"license": "http://arxiv.org/lice... |
---
author:
- Jiwei Zheng
- "Wei Zhou[^1]"
- D. E. Taylor
title: Groups with at most 13 nonpower subgroups
---
**Abstract.** For a group $G$ and $m\ge 1$, $G^m$ denotes the subgroup generated by the elements $g^m$ where $g$ runs through $G$. The subgroups not of the form $G^m$ are called nonpower subgroups. We extend ... | arxiv_math | {
"id": "2309.11113",
"title": "Groups with at most 13 nonpower subgroups",
"authors": "Jiwei Zheng, Wei Zhou and D. E. Taylor",
"categories": "math.GR",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
The problem of graph reconstruction has been studied in its various forms over the years. In particular, the *Reconstruction Conjecture*, proposed by Ulam and Kelly in 1942, has attracted much research attention and yet remains one of the foremost unsolved problems in graph theory. Recently, Bastide, ... | arxiv_math | {
"id": "2309.10113",
"title": "Graph Reconstruction from Connected Triples",
"authors": "Yaxin Qi",
"categories": "math.CO",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
Given an $n$-vertex digraph $D$ and a labeling $\sigma:V(D)\to [n]$, we say that an arc $u\to v$ of $D$ is a descent of $\sigma$ if $\sigma(u)>\sigma(v)$. Foata and Zeilberger introduced a generating function $A_D(t)$ for labelings of $D$ weighted by descents, which simultaneously generalizes both Eul... | arxiv_math | {
"id": "2309.07240",
"title": "Eulerian Polynomials for Digraphs",
"authors": "Kyle Celano, Nicholas Sieger, Sam Spiro",
"categories": "math.CO",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We investigate the number of maximal cliques, i.e., cliques that are not contained in any larger clique, in three network models: Erdős--Rényi random graphs, inhomogeneous random graphs (also called Chung--Lu graphs), and geometric inhomogeneous random graphs. For sparse and not-too-dense Erdős--Rényi... | arxiv_math | {
"id": "2309.02990",
"title": "Maximal Cliques in Scale-Free Random Graphs",
"authors": "Thomas Bl\\\"asius, Maximillian Katzmann, Clara Stegehuis",
"categories": "math.CO cs.DM",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
Let $p,q,l$ be three distinct prime numbers and let $N$ be a positive integer coprime to $pql$. For an integer $n\ge 0$, we define the directed graph $X_l^q(p^nN)$ whose vertices are given by isomorphism classes of elliptic curves over a finite field of characteristic $q$ equipped with a level $p^nN$ ... | arxiv_math | {
"id": "2309.00524",
"title": "On towers of Isogeny graphs with full level structure",
"authors": "Antonio Lei and Katharina M\\\"uller",
"categories": "math.NT math.CO",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
Suppose that $S \subseteq [n]^2$ contains no three points of the form $(x,y), (x,y+\delta), (x+\delta,y')$, where $\delta \neq 0$. How big can $S$ be? Trivially, $n \le |S| \le n^2$. Slight improvements on these bounds are obtained from Shkredov's upper bound for the corners problem [@shkredov2006gene... | arxiv_math | {
"id": "2309.03878",
"title": "On generalized corners and matrix multiplication",
"authors": "Kevin Pratt",
"categories": "math.CO cs.DM cs.DS",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We show how the relatively initial or relatively terminal fixed points of [@adamek2012relatively] for a well-behaved functor $F$ form a pair of adjoint functors between $F$-coalgebras and $F$-algebras. We use the language of locally presentable categories to find sufficient conditions for existence of... | arxiv_math | {
"id": "2310.03445",
"title": "Relative fixed points of functors",
"authors": "Ezra Schoen, Jade Master, Clemens Kupke",
"categories": "math.CT cs.LO",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
For any integer $n>0$, the $n$-th canonical stability index $r_n$ is defined to be the smallest positive integer so that the $r_n$-canonical map $\Phi_{r_n}$ is stably birational onto its image for all smooth projective $n$-folds of general type. We prove the lifting principle for $\{r_n\}$ as follows... | arxiv_math | {
"id": "2310.00651",
"title": "A lifting principle for canonical stability indices of varieties of\n general type",
"authors": "Meng Chen and Hexu Liu",
"categories": "math.AG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
A long-standing conjecture of Sacks states that it is provable in $\mathsf{ZFC}$ that every locally countable partial order of size continuum embeds into the Turing degrees. We show that this holds for partial orders of height two, but provide evidence that it is hard to extend this result even to par... | arxiv_math | {
"id": "2309.01876",
"title": "A Note on a Conjecture of Sacks: It is Harder to Embed Height Three\n Partial Orders than Height Two Partial Orders",
"authors": "Kojiro Higuchi and Patrick Lutz",
"categories": "math.LO",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We construct random walks taking place on the $k$-cells of free $G$-CW complexes of finite type. These random walks define operators acting on the cellular $k$-chains that relate nicely to the (upper) cellular $k$-Laplacian. As an application, we use this relation to show that the Novikov-Shubin invar... | arxiv_math | {
"id": "2309.15509",
"title": "Laplacians and Random Walks on CW Complexes",
"authors": "Tim H\\\"opfner",
"categories": "math.GT math.PR",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We begin the study of Lipschitz saturation for germs of toric singularities. By looking at their associated analytic algebras, we prove that if $(X,0)$ is a germ of toric singularity with smooth normalization then its Lipschitz saturation is again toric. Finally we show how to calculate the Lipschitz ... | arxiv_math | {
"id": "2310.03216",
"title": "On the Lipschitz saturation of toric singularities",
"authors": "Daniel Duarte and Arturo E. Giles Flores",
"categories": "math.AG math.CV",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this note we identify the categories of lax and strong monoidal functors from a symmetric monoidal 1-category to a cartesian symmetric monoidal $\infty$-category with full subcategories of categories of hypersheaves, using Voevodsky's theory of cd-structures. In the same context we can characterise... | arxiv_math | {
"id": "2309.11444",
"title": "Monoidal functors and monoidal sheaves",
"authors": "Josefien Kuijper",
"categories": "math.CT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We consider particles that are conditioned to initial and final states. The trajectory of these particles is uniquely shaped by the intricate interplay of internal and external sources of randomness. The internal randomness is aptly modelled through a parameter varying over a deterministic set, thereb... | arxiv_math | {
"id": "2309.06350",
"title": "Stochastic Bridges over Ensemble of Linear Systems",
"authors": "Daniel Owusu Adu and Yongxin Chen",
"categories": "math.OC",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We show that the transition function of the cascaded connection of two FSRs can be viewed as a wreath product element. This allows us to study periods of cascaded connections with algebraic methods, obtaining both a general, nontrivial upper bound on the maximum period of a cascaded connection and a c... | arxiv_math | {
"id": "2309.10265",
"title": "Wreath products and cascaded FSRs",
"authors": "Alexander Bors, Farzad Maghsoudi and Qiang Wang",
"categories": "math.NT math.GR",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
author:
- "Enrico M. Vitale [^1]"
title: Completion under strong homotopy cokernels
---
For ${\mathcal A}$ a category with finite colimits, we show that the embedding of ${\mathcal A}$ into the category of arrows $\mathbf{Arr}({\mathcal A})$ determined by the initial object is the completion of ${\mathcal A}$ unde... | arxiv_math | {
"id": "2310.00279",
"title": "Completion under strong homotopy cokernels",
"authors": "Enrico M. Vitale",
"categories": "math.CT",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
Let $(\xi_1, \eta_1)$, $(\xi_2, \eta_2),\ldots$ be independent identically distributed $\mathbb{N}^2$-valued random vectors with arbitrarily dependent components. The sequence $(\Theta_k)_{k\in\mathbb{N}}$ defined by $\Theta_k=\Pi_{k-1}\cdot\eta_k$, where $\Pi_0=1$ and $\Pi_k=\xi_1\cdot\ldots\cdot \xi... | arxiv_math | {
"id": "2310.05283",
"title": "Arithmetic properties of multiplicative integer-valued perturbed random\n walks",
"authors": "Victor Bohdanskyi and Vladyslav Bohun and Alexander Marynych and Igor\n Samoilenko",
"categories": "math.PR",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
Stabilizer-free $P_k$ virtual elements are constructed on polygonal and polyhedral meshes. Here the interpolating space is the space of continuous $P_k$ polynomials on a triangular-subdivision of each polygon, or a tetrahedral-subdivision of each polyhedron. With such an accurate and proper interpolat... | arxiv_math | {
"id": "2309.10250",
"title": "Stabilizer-free polygonal and polyhedral virtual elements",
"authors": "Yanping Lin, Mo Mu and Shangyou Zhang",
"categories": "math.NA cs.NA",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We construct a theory of motivic cohomology for quasi-compact, quasi-separated schemes of equal characteristic, which is related to non-connective algebraic $K$-theory via an Atiyah--Hirzebruch spectral sequence, and to étale cohomology in the range predicted by Beilinson and Lichtenbaum. On smooth va... | arxiv_math | {
"id": "2309.08463",
"title": "Motivic cohomology of equicharacteristic schemes",
"authors": "Elden Elmanto and Matthew Morrow",
"categories": "math.KT math.AG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We develop and analyze a mathematical model of oncolytic virotherapy in the treatment of melanoma. We begin with a special, local case of the model, in which we consider the dynamics of the tumour cells in the presence of an oncolytic virus at the primary tumour site. We then consider the more general... | arxiv_math | {
"id": "2309.00821",
"title": "On the Treatment of Melanoma: A Mathematical Model of Oncolytic\n Virotherapy",
"authors": "Tedi Ramaj and Xingfu Zou",
"categories": "math.DS q-bio.QM q-bio.TO",
"license": "http://creativecommons.org/licenses/by-nc-nd/4.0/"
} |
---
bibliography:
- train_opt.bib
---
# Introduction
#### Background.
As projections indicate that the global urban population is poised to increase from 54% to 66% by the year 2050 [@unitednations2014], the urgency to enhance both the efficiency and sustainability of urban transit systems is escalating. Faced with ... | arxiv_math | {
"id": "2309.05489",
"title": "Energy-optimal Timetable Design for Sustainable Metro Railway Networks",
"authors": "Shuvomoy Das Gupta, Bart P.G. Van Parys, J. Kevin Tobin",
"categories": "math.OC",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
author:
- "Shay Ben-Moshe[^1]"
- "Shachar Carmeli[^2]"
- Tomer M. Schlank
- Lior Yanovski
---
[^1]: Einstein Institute of Mathematics, Hebrew University of Jerusalem.
[^2]: Department of Mathematics, University of Copenhagen.
| arxiv_math | {
"id": "2309.07123",
"title": "Descent and Cyclotomic Redshift for Chromatically Localized Algebraic\n K-theory",
"authors": "Shay Ben-Moshe, Shachar Carmeli, Tomer M. Schlank, Lior Yanovski",
"categories": "math.KT math.AT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
Recently, there has been much progress in understanding stationary measures for colored (also called multi-species or multi-type) interacting particle systems, motivated by asymptotic phenomena and rich underlying algebraic and combinatorial structures (such as nonsymmetric Macdonald polynomials).
... | arxiv_math | {
"id": "2309.11865",
"title": "Colored Interacting Particle Systems on the Ring: Stationary Measures\n from Yang-Baxter Equation",
"authors": "Amol Aggarwal, Matthew Nicoletti, Leonid Petrov",
"categories": "math.PR math-ph math.CO math.MP math.QA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib... |
---
abstract: |
This paper considers a type of incremental aggregated gradient (IAG) method for large-scale distributed optimization. The IAG method is well suited for the parameter server architecture as the latter can easily aggregate potentially staled gradients contributed by workers. Although the convergence of ... | arxiv_math | {
"id": "2309.04980",
"title": "Linear Speedup of Incremental Aggregated Gradient Methods on Streaming\n Data",
"authors": "Xiaolu Wang, Cheng Jin, Hoi-To Wai, Yuantao Gu",
"categories": "math.OC cs.LG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this article we consider the stability threshold of the 2D magnetohydrodynamics (MHD) equations near a combination of Couette flow and large constant magnetic field. We study the partial dissipation regime with full viscous and only horizontal magnetic dissipation. In particular, we show that this ... | arxiv_math | {
"id": "2309.00496",
"title": "On the Sobolev Stability Threshold for the 2D MHD Equations with\n Horizontal Magnetic Dissipation",
"authors": "Niklas Knobel, Christian Zillinger",
"categories": "math.AP math-ph math.MP",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this paper we are concerned with the number of critical points of solutions of nonlinear elliptic equations. We will deal with the case of non-convex, contractile and non-contractile planar domains. We will prove results on the estimate of their number as well as their index. In some cases we will ... | arxiv_math | {
"id": "2310.04767",
"title": "On the critical points of solutions of PDE in a non-convex settings: the\n case of concentrating solutions",
"authors": "Francesca Gladiali and Massimo Grossi",
"categories": "math.AP",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
A connected graph $G$ of diameter ${\rm diam}(G) \ge \ell$ is $\ell$-distance-balanced if $|W_{xy}|=|W_{yx}|$ for every $x,y\in V(G)$ with $d_{G}(x,y)=\ell$, where $W_{xy}$ is the set of vertices of $G$ that are closer to $x$ than to $y$. We prove that the generalized Petersen graph $GP(n,3)$ where $n... | arxiv_math | {
"id": "2309.01900",
"title": "Non-$\\ell$-distance-balanced generalized Petersen graphs $GP(n,3)$ and\n $GP(n,4)$",
"authors": "Gang Ma, Jianfeng Wang, Sandi Klav\\v{z}ar",
"categories": "math.CO",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
With his research on Aristotelian syllogistic, Jan Łukasiewicz [-@Luk29; -@Luk34; -@Luk39; -@Luk51] initiated a branch of logic called the calculus of names. This section deals with axiomatic systems that analyze various fragments of the logic of names, i.e., one that study various forms of names and ... | arxiv_math | {
"id": "2310.05661",
"title": "The calculus of names -- The legacy of Jan {\\L}ukasiewicz",
"authors": "Andrzej Pietruszczak",
"categories": "math.LO",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
For a fixed integer $k$ and a graph $G$, let $\lambda_k(G)$ denote the $k$-th largest eigenvalue of the adjacency matrix of $G$. In 2017, Tait and Tobin proved that the maximum $\lambda_1(G)$ among all connected outerplanar graphs on $n$ vertices is achieved by the fan graph $K_1\vee P_{n-1}$. In this... | arxiv_math | {
"id": "2309.08548",
"title": "On the maximum second eigenvalue of outerplanar graphs",
"authors": "George Brooks, Maggie Gu, Jack Hyatt, William Linz, Linyuan Lu",
"categories": "math.CO",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
This paper proposes a mathematical framework for dynamic pricing in an energy community to enable the provision of capacity limitation services to the distribution grid. In this framework, the energy community complies with a time-variant limit on its maximum power import from the distribution grid in... | arxiv_math | {
"id": "2309.05363",
"title": "Dynamic Pricing in an Energy Community Providing Capacity Limitation\n Services",
"authors": "Bennevis Crowley, Jalal Kazempour, Lesia Mitridati",
"categories": "math.OC",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
I trace the roots of my collaboration with Boris Zilber, which combines categoricity theory, finite model theory, algorithmics, and combinatorics.
address: Faculty of Computer Science, Technion--Israel Institute of Technology, Haifa, Israel
author:
- J.A. Makowsky
date: August, 05, 2023
title: How I g... | arxiv_math | {
"id": "2309.02933",
"title": "How I got to like graph polynomials",
"authors": "Johann A. Makowsky",
"categories": "math.CO",
"license": "http://creativecommons.org/licenses/by-nc-nd/4.0/"
} |
---
abstract: |
It is classical that uniform stabilization of solutions to the damped wave equation is equivalent to the geometric control condition The author previously showed that, when the damping depends on time, a generalization of the geometric control condition implies uniform stabilization at an exponential ... | arxiv_math | {
"id": "2309.15005",
"title": "Sharp conditions for exponential and non-exponential uniform\n stabilization of the time dependent damped wave equation",
"authors": "Perry Kleinhenz",
"categories": "math.AP",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
address: ", , "
author:
- Taejun Park
- Yuji Nakatsukasa
bibliography:
- wileyNJD-Vancouver.bib
title: Approximating Sparse Matrices and their Functions using Matrix-vector products
---
# Introduction {#sec:intro}
The evaluation of matrix functions is an important task arising frequently in many areas of scientif... | arxiv_math | {
"id": "2310.05625",
"title": "Approximating Sparse Matrices and their Functions using Matrix-vector\n products",
"authors": "Taejun Park, Yuji Nakatsukasa",
"categories": "math.NA cs.NA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
author:
- |
Massimo Lanza de Cristoforis\
Dipartimento di Matematica 'Tullio Levi-Civita',\
Università degli Studi di Padova,\
Via Trieste 63, Padova 35121, Italy.\
E-mail: mldc\@math.unipd.it
date:
title: A survey on the boundary behavior of the double layer potential in Schauder spaces in the frame of... | arxiv_math | {
"id": "2309.00393",
"title": "A survey on the boundary behavior of the double layer potential in\n Schauder spaces in the frame of an abstract approach",
"authors": "M. Lanza de Cristoforis",
"categories": "math.AP",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We introduce a minimality property for subgroups of topological groups. A subgroup $H$ is a *key subgroup* of a topological group $G$ if there is no strictly coarser Hausdorff group topology on $G$ which induces on $H$ the original topology. In fact, this concept appears implicitly in some earlier pub... | arxiv_math | {
"id": "2309.06785",
"title": "Key subgroups and co-minimality in topological groups",
"authors": "Michael Megrelishvili and Menachem Shlossberg",
"categories": "math.GN math.GR",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
For a hyperbolic knot in $S^3$, Dehn surgery along slope $r \in \mathbb{Q}\cup \{\frac10\}$ is *exceptional* if it results in a non-hyperbolic manifold. We say meridional surgery, $r = \frac10$, is *trivial* as it recovers the manifold $S^3$. We provide evidence in support of two conjectures. The firs... | arxiv_math | {
"id": "2309.09918",
"title": "Boundary slopes (nearly) bound exceptional slopes",
"authors": "Kazuhiro Ichihara and Thomas W. Mattman",
"categories": "math.GT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We consider the block Bregman-Kaczmarz method for finite dimensional linear inverse problems. The block Bregman-Kaczmarz method uses blocks of the linear system and performs iterative steps with these blocks only. We assume a noise model that we call *independent noise*, i.e. each time the method perf... | arxiv_math | {
"id": "2309.06186",
"title": "Adaptive Bregman-Kaczmarz: An Approach to Solve Linear Inverse Problems\n with Independent Noise Exactly",
"authors": "Lionel Tondji, Idriss Tondji, Dirk A. Lorenz",
"categories": "math.NA cs.NA math.OC",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
This article investigates the transmission delay of a Low Earth Orbit (LEO) satellite communication system in a bent pipe structure. By employing a stochastic geometry framework, satellites are modeled as spherical binomial point processes (BPP). A suboptimal satellite relay selection strategy is prop... | arxiv_math | {
"id": "2309.05572",
"title": "Latency Analysis of LEO Satellite Relay Communication: An Application of\n Conditional Contact Angle Distribution",
"authors": "Sixi Cheng and Xiang Ling",
"categories": "math.GT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
Consider a group acting on a polynomial ring $S$ over a field $\mathbb{K}$ by degree-preserving $\mathbb{K}$-algebra automorphisms. The invariant ring $R$ is a graded subring of $S$; let ${\mathfrak{m}}_R$ denote the homogeneous maximal ideal of $R$. Several key properties of the invariant ring and it... | arxiv_math | {
"id": "2310.01816",
"title": "On the natural nullcones of the symplectic and general linear groups",
"authors": "Vaibhav Pandey, Yevgeniya Tarasova, Uli Walther",
"categories": "math.AC",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
author:
- |
Claudia Gariboldi$^{1}$, Anna Ochal$^{2}$, Mircea Sofonea$^{3}$[^1]\
and\
Domingo A. Tarzia$^{4,5}$\
*$1$ Departamento de Matemática, FCEFQyN*\
*Universidad Nacional de Rio Cuarto*\
*Ruta 36 km 601, 5800 Rio Cuarto, Argentina*\
*$2$ Chair in Optimization and Control*\
*Jagiellonian Univ... | arxiv_math | {
"id": "2309.04805",
"title": "A Convergence Criterion for Elliptic Variational Inequalities",
"authors": "Claudia Gariboldi, Anna Ochal, Mircea Sofonea and Domingo A. Tarzia",
"categories": "math.AP math.FA",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
Let $G$ be a connected reductive group, $P$ its parabolic subgroup. We consider the parabolic semi-infinite category of sheaves on the affine Grassmanian of $G$, and construct the parabolic version of the semi-infinite $\operatorname{IC}$-sheaf of each orbit. We establish some of its properties and re... | arxiv_math | {
"id": "2310.06386",
"title": "Semi-infinite parabolic IC-sheaf",
"authors": "G. Dhillon and S. Lysenko",
"categories": "math.RT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
Paul Yiu proved that all Heron triangles are realizable on the integer lattice. We give an analogous result for triangles with vertices on the Eisenstein lattice.
address:
- Collège Calvin, Geneva, Switzerland 1211
- Department of Mathematical and Physical Sciences, La Trobe University, Melbourne, Aus... | arxiv_math | {
"id": "2309.13551",
"title": "Following in Yiu's Footsteps but on the Eisenstein Lattice",
"authors": "Christian Aebi and Grant Cairns",
"categories": "math.CO math.MG math.NT",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We consider the spatially inhomogeneous Landau equation in the case of very soft and Coulomb potentials, $\gamma \in [-3,-2]$. We show that solutions can be continued as long as the following three quantities remain finite, uniformly in $t$ and $x$: (1) the mass density, (2) the velocity moment of ord... | arxiv_math | {
"id": "2309.15690",
"title": "A continuation criterion for the Landau equation with very soft and\n Coulomb potentials",
"authors": "Stanley Snelson and Caleb Solomon",
"categories": "math.AP",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this paper, we study the approximation problem for functions in the Gaussian-weighted Sobolev space $W^\alpha_p(\mathbb{R}^d, \gamma)$ of mixed smoothness $\alpha \in \mathbb{N}$ with error measured in the Gaussian-weighted space $L_q(\mathbb{R}^d, \gamma)$. We obtain the exact asymptotic order of ... | arxiv_math | {
"id": "2309.11309",
"title": "Pseudo $s$-Numbers of Embeddings of Gaussian Weighted Sobolev Spaces",
"authors": "Van Kien Nguyen",
"categories": "math.FA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
Let $p$ be a prime number and $K$ be a field with embeddings into $\mathbb{R}$ and $\mathbb{Q}_p$. We propose an algorithm that generates continued fraction expansions converging in $\mathbb{Q}_p$ and is expected to simultaneously converge in both $\mathbb{R}$ and $\mathbb{Q}_p$. This algorithm produc... | arxiv_math | {
"id": "2309.09447",
"title": "Simultaneous Convergent Continued Fraction Algorithm for Real and\n $p$-adic Fields with Applications to Quadratic Fields",
"authors": "Shin-ichi Yasutomi",
"categories": "math.NT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
Doubly periodic tangles, or *DP tangles*, are embeddings of curves in the thickened plane that are periodically repeated in two directions. They are completely defined by their generating cells, the *flat motifs*, which can be chosen in infinitely many ways. DP tangles are used in modelling materials ... | arxiv_math | {
"id": "2310.00822",
"title": "Equivalence of Doubly Periodic Tangles",
"authors": "Ioannis Diamantis, Sofia Lambropoulou, Sonia Mahmoudi",
"categories": "math.GT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We identify a family of $O(|E(G)|^2)$ nontrivial facets of the connected matching polytope of a graph $G$, that is, the convex hull of incidence vectors of matchings in $G$ whose covered vertices induce a connected subgraph. Accompanying software to further inspect the polytope of an input graph is av... | arxiv_math | {
"id": "2309.14019",
"title": "On a class of strong valid inequalities for the connected matching\n polytope",
"authors": "Phillippe Samer",
"categories": "math.CO cs.DM",
"license": "http://creativecommons.org/licenses/by-nc-sa/4.0/"
} |
---
abstract: |
Given a matroid and a group of its matroid automorphisms, we study the induced group action on the Chow ring of the matroid. This turns out to always be a permutation action. Work of Adiprasito, Huh and Katz showed that the Chow ring satisfies Poincaré duality and the Hard Lefschetz theorem. We lift t... | arxiv_math | {
"id": "2309.14312",
"title": "Chow Rings of Matroids as Permutation Representations",
"authors": "Robert Angarone, Anastasia Nathanson, Victor Reiner",
"categories": "math.CO",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
author:
- "Styrt O. G.[^1]"
title: "Groups $\\Gamma_n^4$[:]{.upright} algebraic properties"
---
In the paper, groups $\Gamma_n^4$ closely connected with braid groups are researched from algebraic point of view. More exactly, for $n\geqslant 7$, it is proved that $\Gamma_n^4$ is a nilpotent finite $2$-group with $4... | arxiv_math | {
"id": "2309.17317",
"title": "Groups $\\Gamma_n^4$: algebraic properties",
"authors": "O.G. Styrt",
"categories": "math.AG",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We consider *local* balances of momentum and angular momentum for the incompressible Navier-Stokes equations. First, we formulate new weak forms of the physical balances (conservation laws) of these quantities, and prove they are equivalent to the usual conservation law formulations. We then show that... | arxiv_math | {
"id": "2309.05585",
"title": "Local conservation laws of continuous Galerkin method for the\n incompressible Navier--Stokes equations in EMAC form",
"authors": "Maxim A. Olshanskii and Leo G. Rebholz",
"categories": "math.NA cs.NA",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
In this paper, we investigate some geodesics and $F$-geodesics problems on tangent bundle and on $\varphi$-unit tangent bundle $T^{\varphi}_{1}M$ equipped with the $\varphi$-Sasaki metric over para-Kähler-Norden manifold $(M^{2m}, \varphi, g)$.
**2010 Mathematics subject classifications:** Primary ... | arxiv_math | {
"id": "2309.01830",
"title": "Geodesics and $F$-geodesics on tangent bundle with $\\varphi$-Sasaki\n metric over para-K\\\"{a}hler-Norden manifold",
"authors": "Abderrahim Zagane",
"categories": "math.DG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
author:
- |
Timo Lähivaara${}^{a}$, William Hall${}^{b}$, Matti Malinen${}^{c}$,\
Dale Ota${}^{b}$, Vijaya Shankar${}^{b}$, and Peter Monk${}^{d}$\
${}^{a}$Department of Technical Physics, University of Eastern Finland, Kuopio, Finland\
${}^{b}$HyperComp Inc., Westlake Village, USA\
${}^{c}$Kuava Ltd., Ku... | arxiv_math | {
"id": "2309.02980",
"title": "A High-Order Ultra-Weak Variational Formulation for Electromagnetic\n Waves Utilizing Curved Elements",
"authors": "Timo L\\\"ahivaara, William Hall, Matti Malinen, Dale Ota, Vijaya\n Shankar, Peter Monk",
"categories": "math.NA cs.NA physics.comp-ph",
"license": "http://arxi... |
---
abstract: |
We consider a one-dimensional nonlocal hyperbolic model introduced to describe the formation and movement of self-organizing collectives of animals in homogeneous 1D environments. Previous research has shown that this model exhibits a large number of complex spatial and spatiotemporal aggregation patt... | arxiv_math | {
"id": "2309.05817",
"title": "Numerical challenges for the understanding of localised solutions with\n different symmetries in non-local hyperbolic systems",
"authors": "Thanh Trung Le and Raluca Eftimie",
"categories": "math.NA cs.NA math.DS",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0... |
---
abstract: |
We show that $\mathbb{C}[\bar x]^{E}$ is not Noetherian even respect to prime E-ideals. Moreover we give a characterization of exponential radical ideals
address:
- Università di Firenze
- Università degli Studi di Napoli \"Federico II\"
author:
- Antongiulio Fornasiero
- Giuseppina Terzo
bibliography... | arxiv_math | {
"id": "2309.02890",
"title": "Note on radical and prime E-ideals",
"authors": "Antongiulio Fornasiero and Giuseppina Terzo",
"categories": "math.LO math.AC",
"license": "http://creativecommons.org/licenses/by-nc-sa/4.0/"
} |
---
abstract: |
We introduce an expansion scheme in reproducing kernel Hilbert spaces, which as a special case covers the celebrated Blaschke unwinding series expansion for analytic functions. The expansion scheme is further generalized to cover Hardy spaces $H^p$, $1<p<\infty$, viewed as Banach spaces of analytic fu... | arxiv_math | {
"id": "2310.01269",
"title": "Nonlinear expansions in reproducing kernel Hilbert spaces",
"authors": "Javad Mashreghi and William Verreault",
"categories": "math.FA math.CA math.CV",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
In the Karlin infinite occupancy scheme, balls are thrown independently into an infinite array of boxes $1$, $2,\ldots$, with probability $p_k$ of hitting the box $k$. For $j,n\in\mathbb{N}$, denote by $\mathcal{K}^*_j(n)$ the number of boxes containing exactly $j$ balls provided that $n$ balls have b... | arxiv_math | {
"id": "2310.06087",
"title": "A law of the iterated logarithm for small counts in Karlin's occupancy\n scheme",
"authors": "Alexander Iksanov and Valeriya Kotelnikova",
"categories": "math.PR",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We answer the recent problem posed by Baudier, Braga, Farah, Vignati, and Willett that asks whether the $\ell_\infty$-direct sum of the matrix algebras embeds into the uniform Roe algebra or the quasi-local algebra of a uniformly locally finite metric space. The answers are no and yes, respectively. T... | arxiv_math | {
"id": "2310.03677",
"title": "Embeddings of matrix algebras into uniform Roe algebras and quasi-local\n algebras",
"authors": "Narutaka Ozawa",
"categories": "math.OA math.FA",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We consider countable linear orders and study the quasi-order of convex embeddability and its induced equivalence relation. We obtain both combinatorial and descriptive set-theoretic results, and further extend our research to the case of circular orders. These results are then applied to the study of... | arxiv_math | {
"id": "2309.09910",
"title": "Convex Embeddability and Knot Theory",
"authors": "Martina Iannella, Alberto Marcone, Luca Motto Ros, Vadim Weinstein",
"categories": "math.LO math.CO math.GT",
"license": "http://creativecommons.org/licenses/by-nc-nd/4.0/"
} |
arxiv_math | {
"id": "2309.11666",
"title": "Error estimate for regularized optimal transport problems via Bregman\n divergence",
"authors": "Keiichi Morikuni, Koya Sakakibara, Asuka Takatsu",
"categories": "math.OC cs.NA math.NA",
"license": "http://creativecommons.org/licenses/by/4.0/"
} | |
---
abstract: |
We study the Asymmetric Brownian Energy, a model of heat conduction defined on the one-dimensional finite lattice with open boundaries. The system is shown to be dual to the Symmetric inclusion process with absorbing boundaries. The proof relies on a non-local map transformation procedure relating the... | arxiv_math | {
"id": "2309.17349",
"title": "Duality for a boundary driven asymmetric model of energy transport",
"authors": "Gioia Carinci, Francesco Casini, Chiara Franceschini",
"categories": "math.PR math-ph math.MP",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
The $\varphi$-divergence-based moment method was recently introduced [@PhiRTE1] for the discretization of the radiative transfer equation. At the continuous level, this method is very close to the entropy-based $M_N$ methods and possesses its main properties, i.e. entropy dissipation, rotational invar... | arxiv_math | {
"id": "2310.05489",
"title": "Some extensions of the $\\phi$-divergence moment closures for the\n radiative transfer equation",
"authors": "Micheal R A Abdelmalik (TU/e), Zhenning Cai (NUS), Teddy Pichard (X)",
"categories": "math.NA cs.NA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
... |
---
abstract: |
In [@S2], it was shown that, if $M$ is a $3$-dimensional asymptotically harmonic with minimal horospheres, then $M$ is flat. However, there is a gap in the proof of this paper. In this paper, we provide the correct proof of the result. Thus we complete the classification of asymptotically harmonic man... | arxiv_math | {
"id": "2309.02226",
"title": "Asymptotically harmonic manifolds of dimension 3 with minimal\n horospheres",
"authors": "Jihun Kim, JeongHyeong Park, and Hemangi Madhusudan Shah",
"categories": "math.DG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We provide a posteriori error estimates for a discontinuous Galerkin scheme for the parabolic-elliptic Keller-Segel system in 2 or 3 space dimensions. The estimates are conditional, in the sense that an a posteriori computable quantity needs to be small enough - which can be ensured by mesh refinement... | arxiv_math | {
"id": "2309.09036",
"title": "A posteriori error control for a Discontinuous Galerkin approximation of\n a Keller-Segel model",
"authors": "Jan Giesselmann, Kiwoong Kwon",
"categories": "math.NA cs.NA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We investigate the problem of computing the operator norm of a matrix with respect to norms induced by linear operators. We show that the dual formulation of this problem can be expressed as a max-min problem which can, for some specific cases, be solved in polynomial time. In other instances, we show... | arxiv_math | {
"id": "2310.00605",
"title": "The Generalized Matrix Norm Problem",
"authors": "Adrian Kulmburg",
"categories": "math.NA cs.NA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
The continuum and discrete fractional nonlinear Schrödinger equations (fDNLS) represent new models in nonlinear wave phenomena with unique properties. In this paper, we focus on various aspects of localization associated to fDNLS featuring modulational instability, asymptotic construction of onsite an... | arxiv_math | {
"id": "2309.11395",
"title": "On Localization of the Fractional Discrete Nonlinear Schr\\\"odinger\n Equation",
"authors": "Brian Choi, Austin Marstaller, Alejandro Aceves",
"categories": "math.CA math.AP",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
In this paper, we consider the travel time tomography problem for conformal metrics on a bounded domain, which seeks to determine the conformal factor of the metric from the lengths of geodesics joining boundary points. We establish forward and inverse stability estimates for simple conformal metrics ... | arxiv_math | {
"id": "2309.12544",
"title": "Stability and Statistical Inversion of Travel time Tomography",
"authors": "Ashwin Tarikere and Hanming Zhou",
"categories": "math.DG math.ST stat.TH",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
This study analyzes the derivative-free loss method to solve a certain class of elliptic PDEs using neural networks. The derivative-free loss method uses the Feynman-Kac formulation, incorporating stochastic walkers and their corresponding average values. We investigate the effect of the time interval... | arxiv_math | {
"id": "2309.16829",
"title": "An analysis of the derivative-free loss method for solving PDEs",
"authors": "Jihun Han, Yoonsang Lee",
"categories": "math.NA cs.LG cs.NA stat.ML",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this short note, we prove the existence of solutions to a Monge-Ampère equation of entire type derived by a weighted version of the classical Minkowski problem. [^1]
author:
- Jacopo Ulivelli
bibliography:
- ref.bib
title: Entire Monge-Ampère equations and weighted Minkowski problems
---
# Introdu... | arxiv_math | {
"id": "2310.02787",
"title": "Entire Monge-Amp\\`ere equations and weighted Minkowski problems",
"authors": "Jacopo Ulivelli",
"categories": "math.AP math.MG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this paper we first prove a number of important inequalities with explicit constants in the setting of the Heisenberg group $\mathbb{H}^{n}$. This includes the fractional and integer Sobolev, Gagliardo-Nirenberg, (weighted) Hardy-Sobolev, Nash inequalities, and their logarithmic versions. In the ca... | arxiv_math | {
"id": "2310.00992",
"title": "Logarithmic Sobolev, Hardy and Poincar\\'e inequalities on the Heisenberg\n group",
"authors": "Marianna Chatzakou, Aidyn Kassymov, Michael Ruzhansky",
"categories": "math.AP math.FA math.GR",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
Weinstein trisection is a trisection of a symplectic 4-manifold whose 1-handlebodies are the Weinstein domain for the symplectic structure induced from an ambient manifold. Lambert-Cole, Meier, and Starkston showed that every closed symplectic 4-manifold admits a Weinstein trisection. In this paper, w... | arxiv_math | {
"id": "2309.11720",
"title": "Weinstein trisections of trivial surface bundles",
"authors": "Masaki Ogawa",
"categories": "math.GT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We show that the local-global divisibility in commutative algebraic groups defined over number fields can be tested on sets of primes of arbitrary small density, i.e. stable and persistent sets. We also give a new description of the cohomological group giving an obstruction to the problem. In addition... | arxiv_math | {
"id": "2309.03514",
"title": "Testing local-global divisibility at a stable set",
"authors": "Alexander B. Ivanov and Laura Paladino",
"categories": "math.NT",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We consider inverse problems for a Westervelt equation with a strong damping and a time-dependent potential $q$. We first prove that all boundary measurements, including the initial data, final data, and the lateral boundary measurements, uniquely determine $q$ and the nonlinear coefficient $\beta$. T... | arxiv_math | {
"id": "2309.11775",
"title": "Inverse problems for a quasilinear strongly damped wave equation arising\n in nonlinear acoustics",
"authors": "Li Li and Yang Zhang",
"categories": "math.AP",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
# Introduction {#s:Intro}
We present extensions of some celebrated models of random integer partitions, to the case when such partitions are decorated by a subordinate specification, for simplicity described as a categorically distributed coloring. The *fil rouge* of our presentation is an algebraic approach to the co... | arxiv_math | {
"id": "2309.11292",
"title": "Multivariate Dirichlet Moments and a Polychromatic Ewens Sampling\n Formula",
"authors": "Lorenzo Dello Schiavo and Filippo Quattrocchi",
"categories": "math.PR math.CO",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
The first goal of this article is to give a complete classification (up to Real biholomorphisms) of Real primary Hopf surfaces $(H,s)$, and, for any such pair, to describe in detail the following naturally associated objects : the group $\mathrm{Aut}_h(H,s)$ of Real automorphisms, the Real Picard grou... | arxiv_math | {
"id": "2310.05265",
"title": "Real structures on primary Hopf surfaces",
"authors": "Zahraa Khaled",
"categories": "math.CV math.DG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We construct and analyze a multiscale finite element method for an elliptic distributed optimal control problem with pointwise control constraints, where the state equation has rough coefficients. We show that the performance of the multiscale finite element method is similar to the performance of sta... | arxiv_math | {
"id": "2309.16062",
"title": "A Multiscale Finite Element Method for an Elliptic Distributed Optimal\n Control Problem with Rough Coefficients and Control Constraints",
"authors": "Susanne C. Brenner, Jose C. Garay, Li-yeng Sung",
"categories": "math.NA cs.NA",
"license": "http://creativecommons.org/licens... |
---
abstract: |
Consider $(T_t)_{t\ge 0}$ and $(S_t)_{t\ge 0}$ as real $C_0$-semigroups generated by closed and symmetric sesquilinear forms on a standard form of a von Neumann algebra. We provide a characterisation for the domination of the semigroup $(T_t)_{t\ge 0}$ by $(S_t)_{t\ge 0}$, which means that $-S_t v\le ... | arxiv_math | {
"id": "2309.02284",
"title": "Domination of semigroups on standard forms of von Neumann algebras",
"authors": "Sahiba Arora and Ralph Chill and Sachi Srivastava",
"categories": "math.OA math.FA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
Most of the literature on causality considers the structural framework of Pearl and the potential-outcome framework of Neyman and Rubin to be formally equivalent, and therefore interchangeably uses the do-notation and the potential-outcome subscript notation to write counterfactual outcomes. In this p... | arxiv_math | {
"id": "2309.05997",
"title": "The difference between structural counterfactuals and potential outcomes",
"authors": "Lucas de Lara (IMT)",
"categories": "math.ST stat.TH",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
A conjecture attributed to Smith states that every pair of longest cycles in a $k$-connected graph intersect each other in at least $k$ vertices. In this paper, we show that every pair of longest cycles in a $k$-connected graph on $n$ vertices intersect each other in at least $\min\{n,8k-n-16\}$ verti... | arxiv_math | {
"id": "2310.03849",
"title": "On two conjectures about the intersection of longest paths and cycles",
"authors": "Juan Guti\\'errez, Christian Valqui",
"categories": "math.CO cs.DM",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
Our work is motivated by the connection established between Lorentzian polynomials and the Dressian in the seminal work of Brändén and Huh on Lorentzian polynomials. We analyze this relation for the class of positroids, and are able to show that in this case, we can relate a multiaffine homogenous sta... | arxiv_math | {
"id": "2309.17091",
"title": "Positroids, Dressian and stable polynomials",
"authors": "Ayush Kumar Tewari",
"categories": "math.AG math.CO",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
Derivative-free optimization (DFO) consists in finding the best value of an objective function without relying on derivatives. To tackle such problems, one may build approximate derivatives, using for instance finite-difference estimates. One may also design algorithmic strategies that perform space e... | arxiv_math | {
"id": "2310.00755",
"title": "Full-Low Evaluation Methods For Bound and Linearly Constrained\n Derivative-Free Optimization",
"authors": "Cl\\'ement W. Royer, Oumaima Sohab, Luis Nunes Vicente",
"categories": "math.OC",
"license": "http://creativecommons.org/licenses/by-nc-sa/4.0/"
} |
---
abstract: |
We consider the deconstruction/reconstruction of extensions in varieties of algebras which are modules expanded by multilinear operators. The parametrization of extensions determined by abelian ideals with unary actions agrees with the previous development of extensions realizing affine datum in arbit... | arxiv_math | {
"id": "2310.00565",
"title": "Extensions of Multilinear Module Expansions",
"authors": "Alexander Wires",
"categories": "math.RA",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
In the past decades, model averaging (MA) has attracted much attention as it has emerged as an alternative tool to the model selection (MS) statistical approach. Hansen \[*Econometrica* **75** (2007) 1175--1189\] introduced a Mallows model averaging (MMA) method with model weights selected by minimizi... | arxiv_math | {
"id": "2309.13239",
"title": "On optimality of Mallows model averaging",
"authors": "Jingfu Peng, Yang Li, Yuhong Yang",
"categories": "math.ST stat.TH",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
title: Roundoff error analysis of the double exponential formula-based method for the matrix sign function
---
# Introduction
Let $A\in\mathbb{R}^{n\times n}$ be a real matrix and $A=XJX^{-1}$ be its Jordan decomposition. Here, $X\in\mathbb{R}^{n\times n}$ is a nonsingular matrix and $J=J_{n_1}(\lambda_1)\oplus\c... | arxiv_math | {
"id": "2309.17228",
"title": "Roundoff error analysis of the double exponential formula-based method\n for the matrix sign function",
"authors": "Tomoya Miyashita, Shuhei Kudo and Yusaku Yamamoto",
"categories": "math.NA cs.NA",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
This is a brief introduction to link homology theories that categorify Reshetikhin--Turaev $\mathsf{SL}(N)$-quantum link invariants. A recently discovered surprising connection between finite state automata and Boolean TQFTs in dimension one is explained as a warm-up.
address:
- Department of Mathemat... | arxiv_math | {
"id": "2309.00708",
"title": "From finite state automata to tangle cobordisms: a TQFT journey from one\n to four dimensions",
"authors": "Mee Seong Im, Mikhail Khovanov",
"categories": "math.QA cs.FL math-ph math.CT math.MP math.RT",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We investigate nonparametric drift estimation for multidimensional jump diffusions based on continuous observations. The results are derived under anisotropic smoothness assumptions and the estimators' performance is measured in terms of the $\sup$-norm loss. We present two different Nadaraya--Watson ... | arxiv_math | {
"id": "2309.17306",
"title": "Adaptive nonparametric drift estimation for multivariate jump diffusions\n under sup-norm risk",
"authors": "Niklas Dexheimer",
"categories": "math.ST stat.TH",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We prove novel asymptotic freeness results in tracial ultraproduct von Neumann algebras. In particular, we show that whenever $M = M_1 \ast M_2$ is a tracial free product von Neumann algebra and $u_1 \in \mathscr U(M_1)$, $u_2 \in \mathscr U(M_2)$ are Haar unitaries, the relative commutants $\{u_1\}' ... | arxiv_math | {
"id": "2309.15029",
"title": "Asymptotic freeness in tracial ultraproducts",
"authors": "Cyril Houdayer and Adrian Ioana",
"categories": "math.OA math.FA math.LO",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
We show that the moduli spaces of bounded global $\mathcal{G}$-Shtukas with pairwise colliding legs admit $p$-adic uniformization isomorphisms by Rapoport-Zink spaces. Here $\mathcal{G}$ is a smooth affine group scheme with connected fibers and reductive generic fiber, i.e. we do not assume it to be p... | arxiv_math | {
"id": "2309.17441",
"title": "Uniformizing the moduli stacks of global $G$-Shtukas II",
"authors": "Urs Hartl, Yujie Xu",
"categories": "math.NT math.AG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this paper we study the mean-field limit of a system of point vortices for the lake equations. These equations model the evolution of the horizontal component of the velocity field of a fluid in a lake of non-constant depth, when its vertical component can be neglected. As for the axisymmetric Eule... | arxiv_math | {
"id": "2309.10453",
"title": "Mean-Field Limit of Point Vortices for the Lake Equations",
"authors": "Matthieu M\\'enard (IF)",
"categories": "math.AP",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
One-dependent first passage percolation is a spreading process on a graph where the transmission time through each edge depends on the direct surroundings of the edge. In particular, the classical iid transmission time $L_{xy}$ is multiplied by $(W_xW_y)^\mu$, a polynomial of the expected degrees $W_x... | arxiv_math | {
"id": "2309.11840",
"title": "Four universal growth regimes in degree-dependent first passage\n percolation on spatial random graphs I",
"authors": "J\\'ulia Komj\\'athy, John Lapinskas, Johannes Lengler, Ulysse Schaller",
"categories": "math.PR cs.SI math.CO q-bio.PE",
"license": "http://arxiv.org/license... |
---
abstract: |
We show that, for a class of locally solid topologies on vector lattices, a topologically convergent net has an embedded sequence that is unbounded order convergent to the same limit. Our result implies, and often improves, many of the known results in this vein in the literature. A study of metrisabi... | arxiv_math | {
"id": "2309.03027",
"title": "Embedded unbounded order convergent sequences in topologically\n convergent nets",
"authors": "Yang Deng and Marcel de Jeu",
"categories": "math.FA",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
For any prime $p>5$ we construct a Calabi-Yau threefold $X$ defined over finite extension $K$ of $\mathbb{Q}_p$ such that every model of $X$ over $\operatorname{Spec}\mathcal{O}_K$ has singular special fiber, yet the Galois action on the $\ell$-adic cohomology group $H^3_{\acute{e}t}(X,\mathbb{Q}_\ell... | arxiv_math | {
"id": "2309.04008",
"title": "Counterexample to N\\'eron-Ogg-Shafarevich criterion for Calabi-Yau\n threefolds",
"authors": "Tymoteusz Chmiel and Marcin Oczko",
"categories": "math.AG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this paper, we obtain the sharp bounds of the second Hankel determinant of logarithmic inverse coefficients for the strongly starlike and strongly convex functions of order alpha.
address:
- Vasudevarao Allu, School of Basic Sciences, Indian Institute of Technology Bhubaneswar, Bhubaneswar-752050, ... | arxiv_math | {
"id": "2309.11760",
"title": "Second Hankel determinant for logarithmic inverse coefficients of\n strongly convex and strongly starlike functions",
"authors": "Vasudevarao Allu and Amal Shaji",
"categories": "math.CV",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
Motivated by the problem of detecting a change in the evolution of a network, we consider the preferential attachment random graph model with a *time-dependent* attachment function. Our goal is to detect whether the attachment mechanism changed over time, based on a single snapshot of the network and ... | arxiv_math | {
"id": "2310.02603",
"title": "Detecting a late changepoint in the preferential attachment model",
"authors": "Gianmarco Bet, Kay Bogerd, Rui M. Castro, Remco van der Hofstad",
"categories": "math.ST math.PR stat.TH",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
For a polarized toric variety $(X,L)$ of dimension $n\le4$, we give a lower bound of the $\Delta$-genus by using the vanishing number of adjoint bundle of a multiple of $L$. We show that for a polarized toric variety of dimension $n$ with nonvanishing adjoint bundle, the $\Delta$-genus is more than or... | arxiv_math | {
"id": "2309.01053",
"title": "An inequality for the Delta-genus of toric varieties",
"authors": "Shoetsu Ogata and Riki Tabei",
"categories": "math.AG",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
---
abstract: |
In this article, we address endpoint issues for the bilinear spherical maximal functions. We obtain borderline restricted weak type estimates for the well studied bilinear spherical maximal function $$\mathfrak{M}(f,g)(x):=\sup_{t>0}\left|\int_{\mathbb S^{2d-1}}f(x-ty_1)g(x-ty_2)\;d\sigma(y_1,y_2)\rig... | arxiv_math | {
"id": "2310.00425",
"title": "Sharp endpoint $L^p-$estimates for Bilinear spherical maximal functions",
"authors": "Ankit Bhojak, Surjeet Singh Choudhary, Saurabh Shrivastava, Kalachand\n Shuin",
"categories": "math.CA",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We prove some weighted refined decoupling estimates. As an application, we give an alternative proof of the following result on Falconer's distance set problem by the authors in a companion work: if a compact set $E\subset \mathbb{R}^d$ has Hausdorff dimension larger than $\frac{d}{2}+\frac{1}{4}-\fra... | arxiv_math | {
"id": "2309.04501",
"title": "Weighted refined decoupling estimates and application to Falconer\n distance set problem",
"authors": "Xiumin Du, Yumeng Ou, Kevin Ren, and Ruixiang Zhang",
"categories": "math.CA math.CO math.MG",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
---
abstract: |
We study infinite groups interpretable in power bounded $T$-convex, $V$-minimal or $p$-adically closed fields. We show that if $G$ is an interpretable definably semisimple group (i.e., has no definable infinite normal abelian subgroups) then, up to a finite index subgroup, it is definably isogenous to... | arxiv_math | {
"id": "2309.02727",
"title": "Semisimple groups interpretable in various valued fields",
"authors": "Yatir Halevi and Assaf Hasson and Ya'acov Peterzil",
"categories": "math.LO math.GR",
"license": "http://creativecommons.org/licenses/by/4.0/"
} |
arxiv_math | {
"id": "2310.05562",
"title": "Choice of the hypothesis matrix for using the Wald-type-statistic",
"authors": "Paavo Sattler and Georg Zimmermann",
"categories": "math.ST stat.TH",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
} |
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