Quasi-compactness and absolutely continuous kernels, applications to Markov chains

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dc.creatorHennion, Hubert
dc.date2006-06-27
dc.date.accessioned2026-07-07T07:17:44Z
dc.date.available2026-07-07T07:17:44Z
dc.descriptionWe show how the essential spectral radius of a bounded positive kernel, acting on bounded functions, is linked to its lower approximation by certain absolutely continuous kernels. The standart Doeblin's condition can be interpreted in this context, and, when suitably reformulated, it leads to a formula for the essential spectral radius. This results may be used to characterize the Markov kernels having a quasi-compact action on a space of measurable functions bounded with respect to some test function, when no irreducibilty and aperiodicity are assumed.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/math/0606680
dc.identifierhttp://arxiv.org/abs/math/0606680
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114045
dc.subjectProbability
dc.subjectFunctional Analysis
dc.subject60J05 (primary), 47B07, 47B65, 60F15 (secondary)
dc.titleQuasi-compactness and absolutely continuous kernels, applications to Markov chains
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