Existence and exponential mixing of infinite white $\alpha$-stable systems with unbounded interactions

L. Xu, B. Zegarlinski

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.
Original language English Eindhoven Eurandom 25 Published - 2011

Publication series

Name Report Eurandom 2011001 1389-2355

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Galerkin Approximation
Interaction

Cite this

Xu, L., & Zegarlinski, B. (2011). Existence and exponential mixing of infinite white $\alpha$-stable systems with unbounded interactions. (Report Eurandom; Vol. 2011001). Eindhoven: Eurandom.
Xu, L. ; Zegarlinski, B. / Existence and exponential mixing of infinite white $\alpha$-stable systems with unbounded interactions. Eindhoven : Eurandom, 2011. 25 p. (Report Eurandom).
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author = "L. Xu and B. Zegarlinski",
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Xu, L & Zegarlinski, B 2011, Existence and exponential mixing of infinite white $\alpha$-stable systems with unbounded interactions. Report Eurandom, vol. 2011001, Eurandom, Eindhoven.
Eindhoven : Eurandom, 2011. 25 p. (Report Eurandom; Vol. 2011001).

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AU - Zegarlinski, B.

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PB - Eurandom

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Xu L, Zegarlinski B. Existence and exponential mixing of infinite white $\alpha$-stable systems with unbounded interactions. Eindhoven: Eurandom, 2011. 25 p. (Report Eurandom).