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The existence, uniqueness, and asymptotic stability of modulo periodic Poisson stable solutions of dynamic equations on a periodic time scale are investigated. The model under investigation involves a term which is constructed via a Poisson…

Dynamical Systems · Mathematics 2022-10-12 Fatma Tokmak Fen , Mehmet Onur Fen

The aims of this paper are twofold. Firstly, we derive some probabilistic representation for the constant which appears in the one-dimensional case of Kesten's renewal theorem. Secondly, we estimate the tail of some related random variable…

Probability · Mathematics 2008-04-10 Nathanaël Enriquez , Christophe Sabot , Olivier Zindy

We generalize the stable graph regularity lemma of Malliaris and Shelah to the case of finite structures in finite relational languages, e.g., finite hypergraphs. We show that under the model-theoretic assumption of stability, such a…

Logic · Mathematics 2018-01-16 Nathanael Ackerman , Cameron Freer , Rehana Patel

In this paper, we investigate the stabilization of a one-dimensional Lorenz piezoelectric (Stretching system) with partial viscous dampings. First, by using Lorenz gauge conditions, we reformulate our system to achieve the existence and…

Analysis of PDEs · Mathematics 2022-07-04 Mohammad Akil , Abdelaziz Soufyane , Youssef Belhamadia

The stability of Lattice Boltzmann Equations modelling Shallow Water Equations in the special case of reduced gravity is investigated theoretically. A stability notion is defined as applied in incompressible Navier-Stokes equations in…

Numerical Analysis · Mathematics 2016-10-06 Mapundi K. Banda , Tumelo R. A. Uoane

We give some remarks on our papers with Minamide and Yanagida on Bridgeland stability conditions. We also give a remark on stability conditions on Enriques surfaces, and give another proof of the projectivity of the coarse moduli spaces of…

Algebraic Geometry · Mathematics 2016-07-19 Kota Yoshioka

We improve the upper bound for the consistency strength of stationary reflection at successors of singular cardinals.

Logic · Mathematics 2021-07-01 Yair Hayut , Spencer Unger

We show stability of pairs of Ricci flat metrics and parallel spinor fields with respect to the spinor flow, i.e. we show that the spinor flow with initial conditions near such pairs converges to a critical point with exponential speed.…

Differential Geometry · Mathematics 2017-06-29 Lothar Schiemanowski

The primary objective of this paper is to introduce Hyers-Ulam-type stability results for monotone, subadditive, and convex graphs. We consider their standard definitions in an approximate sense and demonstrate the existence of a…

General Mathematics · Mathematics 2026-02-05 Angshuman R. Goswami , Mahmood K. Shihab

Recently, Benzoni--Gavage, Danchin, Descombes, and Jamet have given a sufficient condition for linear and nonlinear stability of solitary wave solutions of Korteweg's model for phase-transitional isentropic gas dynamics in terms of…

Analysis of PDEs · Mathematics 2007-05-23 K. Zumbrun

We formulate a new criterion of the asymptotic stability for some non-equicontinuous Markov semigroups, the so-called eventually continuous semigroups. In particular, we provide a non-equicontinuous Markov semigroup example with essential…

Probability · Mathematics 2025-03-05 Fuzhou Gong , Yong Liu , Yuan Liu , Ziyu Liu

We consider the transition from a spatially uniform state to a steady, spatially-periodic pattern in a partial differential equation describing long-wavelength convection. This both extends existing work on the study of rolls, squares and…

patt-sol · Physics 2007-05-23 Anne C. Skeldon , Mary Silber

We investigate the stability properties of an abstract class of semi-linear systems. Our main result establishes rational rates of decay for classical solutions assuming a certain non-uniform observability estimate for the linear part and…

Functional Analysis · Mathematics 2026-01-21 Lassi Paunonen , David Seifert

We begin the proof of the stabilization of the twisted trace formula. Here we prove that almost all "coefficients" appearing in this formula are equal to their endoscopic counterpart. It is the generalization to the twisted case of the…

Representation Theory · Mathematics 2014-09-04 Jean-Loup Waldspurger

Stable embedded solitons are discovered in the generalized third-order nonlinear Schroedinger equation. When this equation can be reduced to a perturbed complex modified KdV equation, we developed a soliton perturbation theory which shows…

Pattern Formation and Solitons · Physics 2009-11-10 J. Yang

We exhibit a linear threshold function in 5 variables with strictly smaller noise stability (for small values of the correlation parameter) than the majority function on 5 variables, thereby providing a counterexample to the "Majority is…

Computational Complexity · Computer Science 2017-03-27 Vishesh Jain

We study the stability of general weakly coupled systems subject to a reduced number of local or boundary controls. We show that, under Kalman's rank condition, the exponential stability of the underlying scalar equation implies polynomial…

Optimization and Control · Mathematics 2026-04-02 Bopeng Rao , Qiong Zhang

The aim of this short note is twofold. First, we give a sketch of the proof of a recent result proved by the authors in the paper [Colombo, Crippa, and Spirito, Calc. Var. Partial Differential Equations 2015] concerning existence and…

Analysis of PDEs · Mathematics 2018-11-07 Maria Colombo , Gianluca Crippa , Stefano Spirito

We examine the stability of a class of solitons, obtained from a generalization of the Boussinesq equation, which have been proposed to be relevant for pulse propagation in biomembranes and nerves. These solitons are found to be stable with…

Biological Physics · Physics 2007-05-23 B. Lautrup , A. D. Jackson , T. Heimburg

We extend the classical stability theorem of Erdos and Simonovits for forbidden graphs of logarithmic order.

Combinatorics · Mathematics 2007-11-22 Vladimir Nikiforov