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Partition functions arise in statistical physics and probability theory as the normalizing constant of Gibbs measures and in combinatorics and graph theory as graph polynomials. For instance the partition functions of the hard-core model…

Combinatorics · Mathematics 2021-03-05 Ewan Davies , Matthew Jenssen , Will Perkins , Barnaby Roberts

In this paper, we investigate the stabilization of a locally coupled wave equations with local viscoelastic damping of past history type acting only in one equation via non smooth coefficients. First, using a general criteria of…

Analysis of PDEs · Mathematics 2021-05-12 Mohammad Akil , Haidar Badawi , Serge Nicaise , Ali Wehbe

In this paper we provide a family of inequalities, extending a recent result due to Albuquerque et al.

Functional Analysis · Mathematics 2017-02-03 Antonio Gomes Nunes

We introduce a set of combinatorial techniques for studying the simplicial bounded cohomology of semi-simplicial sets, simplicial complexes and posets. We apply these methods to prove several new bounded acyclicity results for…

Algebraic Topology · Mathematics 2023-09-12 Thorben Kastenholz , Robin J. Sroka

We give some explicit calculations for stable distributions and convergence to them, mainly based on less explicit results in Feller (1971). The main purpose is to provide ourselves with easy reference to explicit formulas and examples.…

Probability · Mathematics 2022-02-25 Svante Janson

In this note we formulate recent stability results for Hardy inequalities in the language of Folland and Stein's homogeneous groups. Consequently, we obtain remainder estimates for Rellich type inequalities on homogeneous groups. Main…

Functional Analysis · Mathematics 2018-11-14 Michael Ruzhansky , Durvudkhan Suragan

We establish (i) stability of Lyapunov exponents and (ii) convergence in probability of Oseledets spaces for semi-invertible matrix cocycles, subjected to small random perturbations. The first part extends results of Ledrappier and Young to…

Dynamical Systems · Mathematics 2013-10-10 Gary Froyland , Cecilia González-Tokman , Anthony Quas

Schur functions has been shown to satisfy certain plethysm stability properties and recurrence relations. In this paper, use vertex operator methods to study analogous stability properties of Schur's $Q$-functions. Although the two…

Combinatorics · Mathematics 2026-03-17 John Graf , Naihuan Jing

In this work we address the question of proving the stability of elliptic 2-periodic orbits for strictly convex billiards. Eventhough it is part of a widely accepted belief that ellipticity implies stability, classical theorems show that…

Chaotic Dynamics · Physics 2007-05-23 Sylvie Oliffson Kamphorst , Sonia Pinto de Carvalho

In the first part, we discuss the stability of the strong slope and of the subdifferential of a lower semicontinuous function with respect to Wijsman perturbations of the function, i.e. perturbations described via Wijsman convergence. In…

Optimization and Control · Mathematics 2019-01-01 Marc Lassonde

We find computable criteria for stability of symplectic leaves of Poisson manifolds. Using Poisson geometry as an inspiration, we also give a general criterion for stability of leaves of Lie algebroids, including singular ones. This not…

Differential Geometry · Mathematics 2010-01-18 Marius Crainic , Rui Loja Fernandes

We prove that harmonic PHH submersions are (weakly) stable.

Differential Geometry · Mathematics 2007-05-23 Monica Alice Aprodu

There are several proofs now for the stability of Toom's example of a two-dimensional stable cellular automaton and its application to fault-tolerant computation. Simon and Berman simplified and strengthened Toom's original proof: the…

Formal Languages and Automata Theory · Computer Science 2021-05-14 Peter Gacs

A new proof of a result of Lutz Weis is given, that states that the stability of a positive strongly continuous semigroup $(e^{tA})_{t \ge 0}$ on $L_p$ may be determined by the quantity $s(A)$. We also give an example to show that the…

Functional Analysis · Mathematics 2008-02-03 Stephen J. Montgomery-Smith

We investigate stability of both localized time-periodic coherent states (pulsons) and uniformly distributed coherent states (oscillating condensate) of a real scalar field satisfying the Klein-Gordon equation with a logarithmic…

High Energy Physics - Theory · Physics 2019-01-29 Vladimir A. Koutvitsky , Eugene M. Maslov

In the context of holomorphic families of ${\mathbb P}^k$ endomorphisms, we show that various notions of stability are equivalent. This allows us to both extend and simplify the architecture of the proof of certain results of [BBD]

Dynamical Systems · Mathematics 2025-01-15 François Berteloot , Xavier Buff

In this paper we give a comprehensive account of several recent results on the stability of nontrivial soliton structures for some well-known non periodic dispersive models. We will focus on the simpler case of the generalized Korteweg-de…

Analysis of PDEs · Mathematics 2015-10-13 Claudio Muñoz

We consider Hamiltonian systems with symmetry, and relative equilibria with isotropy subgroup of positive dimension. The stability of such relative equilibria has been studied by Ortega and Ratiu and by Lerman and Singer. In both papers the…

Dynamical Systems · Mathematics 2015-05-20 James Montaldi , Miguel Rodriguez-Olmos

In this paper we study the stability problem of a tree of elastic strings with local Kelvin-Voigt damping on some of the edges. Under the compatibility condition of displacement and strain and continuity condition of damping coefficients at…

Analysis of PDEs · Mathematics 2018-03-21 Kaïs Ammari , Zhuangyi Liu , Farhat Shel

We survey some recent development in the stability theory of klt singularities. The main focus is on the solution of the stable degeneration conjecture.

Algebraic Geometry · Mathematics 2023-07-21 Ziquan Zhuang