On the spectrum of Markov semigroups via sample path large deviations

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dc.creatorIgnatiouk-Robert, Irina
dc.date2004-11-10
dc.date.accessioned2026-07-07T13:16:06Z
dc.date.available2026-07-07T13:16:06Z
dc.descriptionThe essential spectral radius of a sub-Markovian process is defined as the infimum of the spectral radiuses of all local perturbations of the process. When the family of rescaled processes satisfies sample path large deviation principle, the spectral radius and the essential spectral radius are expressed in terms of the rate function. The paper is motivated by applications to reflected diffusions and jump Markov processes describing stochastic networks for which the sample path large deviation principle has been established and the rate function has been identified while essential spectral radius has not been calculated.
dc.description32 pages, 1 figure, to be published in "Probability Theory and Related Fields"
dc.identifierhttps://arxiv.org/abs/math/0411221
dc.identifierhttp://arxiv.org/abs/math/0411221
dc.identifierProbability Theory and Related Fields, 2006, V 134, n 11, pp 44-80
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230682
dc.subjectProbability
dc.subjectSpectral Theory
dc.subject60F10, 47A10, 60F25
dc.titleOn the spectrum of Markov semigroups via sample path large deviations
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