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Exhausters are families of compact, convex sets which provide minmax or maxmin representations of positively homogeneous functions and they are efficient tools for the study of nonsmooth function. Upper and lower exhausters of positively…

最优化与控制 · 数学 2020-09-08 Didem Tozkan

We introduce and study some general principles and hierarchical properties of expansions and restrictions of structures and their theories The general approach is applied to describe these properties for classes of $\omega$-categorical…

逻辑 · 数学 2025-02-06 Sergey V. Sudoplatov

We study metric projections onto cones in the Wasserstein space of probability measures, defined by stochastic orders. Dualities for backward and forward projections are established under general conditions. Dual optimal solutions and their…

概率论 · 数学 2021-10-12 Young-Heon Kim , Yuan Long Ruan

Functor lifting along a fibration is used for several different purposes in computer science. In the theory of coalgebras, it is used to define coinductive predicates, such as simulation preorder and bisimilarity. Codensity lifting is a…

计算机科学中的逻辑 · 计算机科学 2021-02-09 Yuichi Komorida

The recent theorem by D.Luecking about finite rank Bergman-Toeplitz operators is extended to weights being distributions with compact support and to the spaces of harmonic functions.

泛函分析 · 数学 2008-05-20 Alexey Alexandrov , Grigori Rozenblum

A permutation whose any prefix has no more descents than ascents is called a ballot permutation. In this paper, we present a decomposition of ballot permutations that enables us to construct a bijection between ballot permutations and odd…

组合数学 · 数学 2021-03-09 Zhicong Lin , David G. L. Wang , Tongyuan Zhao

Our work explores fusions, the multidimensional counterparts of mean-preserving contractions and their extreme and exposed points. We reveal an elegant geometric/combinatorial structure for these objects. Of particular note is the…

理论经济学 · 经济学 2025-02-11 Andreas Kleiner , Benny Moldovanu , Philipp Strack , Mark Whitmeyer

We consider the Proca field with dynamical term given by the exterior derivative with respect to the most general connection; the most general Proca field equations are given, and a discussion about the propagation and the geometrical…

广义相对论与量子宇宙学 · 物理学 2012-12-06 Luca Fabbri

Lubrication theory is broadly applicable to the flow characterization of thin fluid films and the motion of particles near surfaces. We offer an extension to lubrication theory by starting with Stokes equations and considering higher-order…

流体动力学 · 物理学 2017-01-30 Behrouz Tavakol , Guillaume Froehlicher , Douglas P. Holmes , Howard A. Stone

A detailed study of the rescattering series is performed within a model, using a generalized procedure of eikonalization and fitted to the $pp$ and $\bar pp$ elastic scattering data. We estimate and compare the various rescattering…

高能物理 - 唯象学 · 物理学 2010-05-28 P. Desgrolard , M. Giffon , E. Martynov

Extending the work of Yakoubov, we enumerate the linear extensions of comb posets that avoid certain length-$3$ patterns. We resolve many of Yakoubov's open problems and prove both of the conjectures from her paper.

组合数学 · 数学 2017-02-22 Colin Defant

In this work, we expose four bijections each allowing to increase (or decrease) one parameter in either uniform random forests with a fixed number of edges and trees, or quadrangulations with a boundary having a fixed number of faces and a…

概率论 · 数学 2014-01-16 Jérémie Bettinelli

In a recent paper Arita et al. [Phys. Rev. E 90, 052108 (2014)] consider the transport properties of a class of generalized exclusion processes. Analytical expressions for the transport-diffusion coefficient are derived by ignoring…

统计力学 · 物理学 2016-07-05 T. Becker , K. Nelissen , B. Cleuren , B. Partoens , C. Van den Broeck

This article introduces the concept of optimization learning, a methodology to design optimization proxies that learn the input/output mapping of parametric optimization problems. These optimization proxies are trustworthy by design: they…

最优化与控制 · 数学 2025-01-08 Pascal Van Hentenryck

We propose an efficient method to evaluate callable and putable bonds under a wide class of interest rate models, including the popular short rate diffusion models, as well as their time changed versions with jumps. The method is based on…

证券定价 · 定量金融 2012-06-25 Dongjae Lim , Lingfei Li , Vadim Linetsky

We investigate two asymptotic properties of a spatial preferential-attachment model introduced by E. Jacob and P. M\"orters (2013). First, in a regime of strong linear reinforcement, we show that typical distances are at most of…

概率论 · 数学 2018-09-28 Christian Hirsch , Christian Mönch

In this note, we define a bounded variant on the Hilbert projective metric on an infinite dimensional space $E$ and study the contraction properties of the projective maps associated with positive linear operators on $E$. More precisely, we…

泛函分析 · 数学 2025-02-07 Maxime Ligonnière

Various origins of linear and nonlinear Schrodinger equations are discussed in connection with diffusion, hydrodynamics, and fractal structure. The treatment is mainly expository, emphasizing the quantum potential, with a few new…

量子物理 · 物理学 2007-05-23 Robert Carroll

We present an elementary discussion of two basic properties of angular displacements, namely, the anticommutation of finite rotations and the commutation of infinitesimal rotations, and show how commutation is achieved as the angular…

物理教育 · 物理学 2009-10-31 Oscar Bolina , J. A. da Silva Neto

The derivative expansion approach to the calculation of the interaction between two surfaces, is a generalization of the proximity force approximation, a technique of widespread use in different areas of physics. The derivative expansion…

量子物理 · 物理学 2015-06-19 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli