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2010 Existence and Exponential Mixing of Infinite White $\alpha$-Stable Systems with Unbounded Interactions
Lihu Xu, Boguslaw Zegarlinski
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Electron. J. Probab. 15: 1994-2018 (2010). DOI: 10.1214/EJP.v15-831

Abstract

We study an infinite white $\alpha$-stable systems with unbounded interactions, and prove the existence of a solution by Galerkin approximation and an exponential mixing property by an $\alpha$-stable version of gradient bounds.

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Lihu Xu. Boguslaw Zegarlinski. "Existence and Exponential Mixing of Infinite White $\alpha$-Stable Systems with Unbounded Interactions." Electron. J. Probab. 15 1994 - 2018, 2010. https://doi.org/10.1214/EJP.v15-831

Information

Accepted: 2 December 2010; Published: 2010
First available in Project Euclid: 1 June 2016

zbMATH: 1221.37160
MathSciNet: MR2745723
Digital Object Identifier: 10.1214/EJP.v15-831

Subjects:
Primary: 37L55
Secondary: 60H10 , 60H15

Keywords: Exponential mixing , Finite speed of propagation of information , Gradient bounds , Lie bracket , White symmetric $alpha$-stable processes

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