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 language | English |
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Place of Publication | Eindhoven |
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Publisher | Eurandom |
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Number of pages | 25 |
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Publication status | Published - 2008 |
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Name | Report Eurandom |
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Volume | 2008051 |
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ISSN (Print) | 1389-2355 |
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