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

preprint2010arXivOpen access

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

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

Abstract

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