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

L. Xu, B. Zegarlinski

Research output: Contribution to journalArticleAcademicpeer-review

7 Citations (Scopus)
58 Downloads (Pure)

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 languageEnglish
Pages (from-to)1994-2018
JournalElectronic Journal of Probability
Volume15
Issue number65
Publication statusPublished - 2010

Fingerprint

Galerkin Approximation
Interaction
Gradient
Approximation

Cite this

@article{2275cbf950d04913bbd91ce4bdb3610e,
title = "Existence and exponential mixing of infinite white $\alpha$-stable systems with unbounded interactions",
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.",
author = "L. Xu and B. Zegarlinski",
year = "2010",
language = "English",
volume = "15",
pages = "1994--2018",
journal = "Electronic Journal of Probability",
issn = "1083-6489",
publisher = "Institute of Mathematical Statistics",
number = "65",

}

Existence and exponential mixing of infinite white $\alpha$-stable systems with unbounded interactions. / Xu, L.; Zegarlinski, B.

In: Electronic Journal of Probability, Vol. 15, No. 65, 2010, p. 1994-2018.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Existence and exponential mixing of infinite white $\alpha$-stable systems with unbounded interactions

AU - Xu, L.

AU - Zegarlinski, B.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

M3 - Article

VL - 15

SP - 1994

EP - 2018

JO - Electronic Journal of Probability

JF - Electronic Journal of Probability

SN - 1083-6489

IS - 65

ER -