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For moving average processes with random coefficients and heavy-tailed innovations that are weakly dependent in the sense of strong mixing and local dependence condition $D'$ we study joint functional convergence of partial sums and maxima.…

概率论 · 数学 2022-10-25 Danijel Krizmanic

In statistical classification and machine learning, as well as in social and other sciences, a number of measures of association have been proposed for assessing and comparing individual classifiers, raters, as well as their groups. In this…

机器学习 · 统计学 2020-02-04 Nadezhda Gribkova , Ričardas Zitikis

The fundamental measure density functional theory for hard spheres is generalized to binary mixtures of arbitrary positive and moderate negative non-additivity between unlike components. In bulk the theory predicts fluid-fluid phase…

软凝聚态物质 · 物理学 2009-11-10 Matthias Schmidt

We consider AF-flows, i.e., one-parameter automorphism groups of a unital simple C*-algebra which leave invariant the dense union of an increasing sequence of finite-dimensional *-subalgebras, and derive two properties for these; an absence…

算子代数 · 数学 2009-10-31 Ola Bratteli , Akitaka Kishimoto

A new family of commutative semifields with two parameters is presented. Its left and middle nucleus are both determined. Furthermore, we prove that for any different pairs of parameters, these semifields are not isotopic. It is also shown…

组合数学 · 数学 2013-04-16 Yue Zhou , Alexander Pott

The paper deals with relationships between the individual transmembrane fluxes of binary electrolyte solution components and the experimentally measurable quantities describing rates of transfer processes, namely, the electric current, the…

软凝聚态物质 · 物理学 2023-01-23 Andriy E. Yaroshchuk , Stanislaw Koter , Volodymyr I. Kovalchuk , Emiliy K. Zholkovskiy

This work is a follow-up on the work of the second author with P. Daskalopoulos and J.L. V\'{a}zquez. In this latter work, we introduced the Yamabe flow associated to the so-called fractional curvature and prove some existence result of…

偏微分方程分析 · 数学 2019-10-15 Hardy Chan , Yannick Sire , Liming Sun

We define new families of noncommutative symmetric functions and quasi-symmetric functions depending on two matrices of parameters, and more generally on parameters associated with paths in a binary tree. Appropriate specializations of both…

组合数学 · 数学 2013-02-12 Alain Lascoux , Jean-Christophe Novelli , Jean-Yves Thibon

We study two models of overdamped self-propelled disks in two dimensions, with and without aligning interactions. Active mesoscale flows leading to chaotic advection emerge in both models in the homogeneous dense fluid away from dynamical…

软凝聚态物质 · 物理学 2024-06-07 Yann-Edwin Keta , Juliane Klamser , Robert L. Jack , Ludovic Berthier

We study the connections existing between max-infinitely divisible distributions and Poisson processes from the point of view of functional analysis. More precisely, we derive functional identities for the former by using well-known results…

泛函分析 · 数学 2025-09-03 Bruno Costacèque-Cecchi , Laurent Decreusefond

For a general family of non-negative functions matching upper and lower bounds are established for their average over the values of any equidistributed sequence.

数论 · 数学 2024-03-20 Stephanie Chan , Peter Koymans , Carlo Pagano , Efthymios Sofos

Inhomogeneous flows and shear banding are of interest for a range of applications but have been eluding a comprehensive theoretical understanding, mostly due to the lack of a framework comparable to equilibrium statistical mechanics. Here…

统计力学 · 物理学 2025-05-15 Thomas Speck

We analyze $f$-frequently hypercyclic, $q$-frequently hypercyclic ($q> 1$) and frequently hypercyclic $C_{0}$-semigroups ($q=1$) defined on complex sectors, working in the setting of separable infinite-dimensional Fr\'echet spaces. Some…

泛函分析 · 数学 2018-08-06 Belkacem Chaouchi , Marko Kosti\' c , Stevan Pilipovi\' c , Daniel Velinov

This article deals with the problem of functional classification for L2-valued random covariates when some of the covariates may have missing or unobservable fragments. Here, it is allowed for both the training sample as well as the new…

统计方法学 · 统计学 2018-11-30 Majid Mojirsheibani , My-Nhi Nguyen , Crystal Shaw

Motivated by extending the functional stochastic calculus, to important functionals to which it does not apply, a notion of functional derivative along a curve is introduced. This new setting is developed by incorporating path-dependent…

概率论 · 数学 2026-04-14 Christian Houdré , Jorge Víquez

The ring of cyclic quasi-symmetric functions and its non-Escher subring are introduced in this paper. A natural basis consists of fundamental cyclic quasi-symmetric functions; for the non-Escher subring they arise as toric $P$-partition…

组合数学 · 数学 2020-05-27 Ron M. Adin , Ira M. Gessel , Victor Reiner , Yuval Roichman

The aim of this paper is to establish a contravariant adjunction between the category of quasi-bialgebras and a suitable full subcategory of dual quasi-bialgebras, adapting the notion of finite dual to this framework. Various functorial…

量子代数 · 数学 2019-05-29 Alessandro Ardizzoni , Laiachi El Kaoutit , Paolo Saracco

We propose a simple calculus for processing data streams (infinite flows of data series), represented by finite sets of equations built on stream operators. Furthermore, functions defining streams are regularly corecursive, that is, cyclic…

编程语言 · 计算机科学 2021-08-03 Davide Ancona , Pietro Barbieri , Elena Zucca

We consider a semi-algebraic function defined on a closed semi-algebraic set X. We give formulas relating the topology of X to the indices of the critical points of the function and to the topological behavior of the function at infinity.…

代数几何 · 数学 2010-12-10 Nicolas Dutertre

We use a semiclassical approximation to derive the partition function for an arbitrary potential in one-dimensional Quantum Statistical Mechanics, which we view as an example of finite temperature scalar Field Theory at a point. We rely on…

量子物理 · 物理学 2009-10-31 C. A. A. de Carvalho , R. M. Cavalcanti