Existence and Exponential mixing of infinite white α-stable Systems with unbounded interactions

2009/11/15 by Lihu Xu, Xu, Lihu, Bogusław Zegarliński +2 · 1 citation
Economics, Econometrics and Finance · Engineering · Mathematics · #37L55 #60H10 #60H15 #Analysis of PDEs (math.AP) #Exponential decay #Exponential function #Exponential growth #FOS: Mathematics #Galerkin method #Markov Chains and Monte Carlo Methods #Mathematical analysis #Mathematics #Mixing (physics) #Physics #Probability (math.PR) #Property (philosophy) #Pure mathematics #Quantum mechanics #Stability and Controllability of Differential Equations #Stochastic processes and financial applications #Thermodynamics #math.AP #math.PR #msc:37L55 #msc:60H10 #msc:60H15

paper · pdf · doi:10.48550/arxiv.0911.2866

published in arXiv (Cornell University) (Cornell University) · 28 pages (Corrected several errors)

openalex publication_date 2009/11/15 · arxiv created 2010/01/31 · arxiv updated 2010/02/08 · openalex created_date 2018/06/21 · openalex updated_date 2026/08/06

Abstract

We study an infinite white α-stable systems with unbounded interactions, proving the existence by Galerkin approximation and exponential mixing property by an α-stable version of gradient bounds.

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