Ergodicity of infinite white α-stable Systems with linear and bounded interactions

2009/11/15 by Lihu Xu, Xu, Lihu
Engineering · Mathematics · Physics and Astronomy · #37L55 #60H10 #60H15. #FOS: Mathematics #Mathematical Dynamics and Fractals #Probability (math.PR) #Quantum chaos and dynamical systems #Stability and Controllability of Differential Equations #math.PR #msc:37L55 #msc:60H10 #msc:60H15.

paper · pdf · doi:10.48550/arxiv.0911.2868

20 pages

arxiv created 2009/11/15 · openalex publication_date 2009/11/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We proved the existence of an infinite dimensional stochastic system driven by white α-stable noises (1<α≤ 2), and prove this system is strongly mixing. Our method is by perturbing Ornstein-Uhlenbeck α-stable processes.

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