Existence and Exponential Mixing of Infinite White $\alpha$-Stable Systems with Unbounded Interactions
Lihu Xu, Bogusław Zegarliński · Electronic Journal of Probability · 2010
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.