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We consider the stability of the orthogonal Jensen additive and quadratic equations in $F$-spaces, through applying and extending the approach to the proof of a 2010 result of W.Frchner and J.Sikorska, we presenting a new method to get the…

Functional Analysis · Mathematics 2022-03-09 Linlin Fu , Qi Liu , Yongjin Li

We prove a stability theorem for spaces of smooth concordance embeddings. From it we derive various applications to spaces of concordance diffeomorphisms and homeomorphisms.

Algebraic Topology · Mathematics 2025-04-02 Thomas Goodwillie , Manuel Krannich , Alexander Kupers

We prove a new version of Bogomolov's inequality on normal proper surfaces. This allows to construct Bridgeland's stability condition on such surfaces. In particular, this gives the first known examples of stability conditions on…

Algebraic Geometry · Mathematics 2024-11-18 Adrian Langer

We prove a regularity lemma with respect to arbitrary Keisler measures mu on V, nu on W where the bipartite graph (V,W,R) is definable in a saturated structure M and the formula R(x,y) is stable. The proof is rather quick and uses local…

Logic · Mathematics 2016-04-18 Maryanthe Malliaris , Anand Pillay

In [19] and [26], the authors proved the stability of multi-solitons for derivative nonlinear Schr{\"o}dinger equations. Roughly speaking, sum of finite stable solitons is stable. We predict that if there is one unstable solition then…

Analysis of PDEs · Mathematics 2022-04-28 Phan van Tin

We prove a stability theorem for families of holomorphically-parallelizable manifolds in the category of Hermitian manifolds.

Complex Variables · Mathematics 2015-07-13 Daniele Angella , Adriano Tomassini

We prove some $C^\infty$ and Gevrey well-posedness results for hyperbolic equations whose coefficients lose regularity at one point.

Analysis of PDEs · Mathematics 2021-10-27 Martino Prizzi , Daniele Del Santo

This paper investigates the stability of traveling wave solutions to the free boundary Euler equations with a submerged point vortex. We prove that sufficiently small-amplitude waves with small enough vortex strength are conditionally…

Analysis of PDEs · Mathematics 2019-07-30 Kristoffer Varholm , Erik Wahlén , Samuel Walsh

We prove a version of the Poincar\'e-Bendixson theorem for certain classes of curves on the 2-sphere which are not required to be the trajectories of an underlying flow or semiflow on the sphere itself. Using this result we extend the…

Dynamical Systems · Mathematics 2026-01-12 Jairo Bochi , Ian D. Morris

We prove certain stability properties of Springer representations for type $A$.

Representation Theory · Mathematics 2016-12-08 Dongkwan Kim

The paper presents methods of eigenvalue localisation of regular matrix polynomials, in particular, stability of matrix polynomials is investigated. For this aim a stronger notion of hyperstability is introduced and widely discussed. Matrix…

Complex Variables · Mathematics 2022-05-18 Oskar Jakub Szymański , Michał Wojtylak

Recently, bipath persistent homology has been proposed as an extension of standard persistent homology, along with its visualization (bipath persistence diagram) and computational methods. In the setting of standard persistent homology, the…

Algebraic Topology · Mathematics 2025-03-04 Shunsuke Tada

The Degasperis-Procesi equation possesses well-known peaked solitary waves that are called peakons. Their stability has been established by Lin and Liu in [5]. In this paper, we localize the proof (in some suitable sense detailed in Section…

Analysis of PDEs · Mathematics 2016-01-29 André Kabakouala

We continue the study of stabilization phenomena for Dynkin diagram sequences initiated in the earlier work of Kleber and the present author. We consider a more general class of sequences than that of this earlier work, and isolate a…

Representation Theory · Mathematics 2007-05-23 Sankaran Viswanath

We prove a motivic stabilization result for the cohomology of the local systems on configuration spaces of varieties over $\mathbb{C}$ attached to character polynomials. Our approach interprets the stabilization as a probabilistic…

Algebraic Geometry · Mathematics 2020-12-16 Sean Howe

We prove trace estimates for the relativistic $\alpha$-stable process extending the result of Ba\~{n}uelos and Kulczycki (2008) in the stable case.

Probability · Mathematics 2016-11-29 Rodrigo Bañuelos , Jebessa Mijena , Erkan Nane

In this work, we consider an estimation method in sparse Poisson models inspired by [1] and provide novel sign consistency results under mild conditions.

Statistics Theory · Mathematics 2023-03-27 Marina Gomtsyan , Céline Lévy-Leduc , Sarah Ouadah , Laure Sansonnet

In this paper, we use a unified framework to study Poisson stable (including stationary, periodic, quasi-periodic, almost periodic, almost automorphic, Birkhoff recurrent, almost recurrent in the sense of Bebutov, Levitan almost periodic,…

Dynamical Systems · Mathematics 2020-02-04 Xin Liu , Zhenxin Liu

We give a simple proof of a recently result concerning Hardy $q$-inequalities.

Classical Analysis and ODEs · Mathematics 2014-12-18 Peng Gao

The algebraic stability theorem for $\mathbb{R}$-persistence modules is a fundamental result in topological data analysis. We present a stability theorem for $n$-dimensional rectangle decomposable persistence modules up to a constant…

Algebraic Topology · Mathematics 2020-01-22 Håvard Bakke Bjerkevik
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