Shannon entropy for stationary processes and dynamical systems

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dc.creatorHamdan, D.
dc.creatorParry, W.
dc.creatorThouvenot, J. -P.
dc.date2007-01-08
dc.date.accessioned2026-07-07T07:39:10Z
dc.date.available2026-07-07T07:39:10Z
dc.descriptionWe consider stationary ergodic processes indexed by $\mathbb Z$ or $\mathbb Z^n$ whose finite dimensional marginals have laws which are absolutely continuous with respect to Lebesgue measure. We define an entropy theory for these continuous processes, prove an analog of the Shannon Breiman Mac Millan theorem and study more precisely the particular example of Gaussian processes.
dc.description53 pages
dc.identifierhttps://arxiv.org/abs/math/0701229
dc.identifierhttp://arxiv.org/abs/math/0701229
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121347
dc.subjectDynamical Systems
dc.subject28 D 05, 28 D 15, 28 D 20, 60 G 10
dc.titleShannon entropy for stationary processes and dynamical systems
dc.typetext

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