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Existence and Exponential Mixing of Infinite White $\alpha$-Stable Systems with Unbounded Interactions

   
@article{EJP831,
	author = {Lihu Xu and Boguslaw Zegarlinski},
	title = {Existence and Exponential Mixing of Infinite White $\alpha$-Stable Systems with Unbounded Interactions},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {15},
	year = {2010},
	keywords = {Exponential mixing; White symmetric \$alpha\$-stable processes; Lie bracket; Finite speed of propagation of information; Gradient bounds.},
	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.},
	pages = {no. 65, 1994-2018},
	issn = {1083-6489},
	doi = {10.1214/EJP.v15-831},    
        url = {http://ejp.ejpecp.org/article/view/831}}