Ergodicity of the finite and infinite dimensional alpha-stable systems

L. Xu, B. Zegarlinski

Research output: Book/ReportReportAcademic

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Abstract

Some finite and infinite dimensional perturbed alpha-stable dynamics are constructed and studied in this paper. We prove that the finite dimensional system is strongly mixing, while in the infinite dimensional case that the functional coercive inequal- ities are not available, we develop and apply a technique to prove the point-wise ergodicity for systems with suffciently small interaction in a large subspace of omega= RZd .
Original languageEnglish
Place of PublicationEindhoven
PublisherEurandom
Number of pages25
Publication statusPublished - 2008

Publication series

NameReport Eurandom
Volume2008051
ISSN (Print)1389-2355

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    Xu, L., & Zegarlinski, B. (2008). Ergodicity of the finite and infinite dimensional alpha-stable systems. (Report Eurandom; Vol. 2008051). Eurandom.