Large deviations for occupation times of Markov processes with $L_{\mathbf{2}}$ semigroups

dc.creatorJain, Naresh
dc.creatorKrylov, Nicolai
dc.date2007-07-30
dc.date2008-09-24
dc.date.accessioned2026-07-07T10:04:29Z
dc.date.available2026-07-07T10:04:29Z
dc.descriptionOur aim is to unify and extend the large deviation upper and lower bounds for the occupation times of a Markov process with $L_2$ semigroups under minimal conditions on the state space and the process trajectories; for example, no strong Markov property is needed. The methods used here apply in both continuous and discrete time. We present the proofs for continuous time only because of the inherent technical difficulties in that situation; the proofs can be adapted for discrete time in a straightforward manner.
dc.descriptionPublished in at http://dx.doi.org/10.1214/07-AOP371 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/0707.4469
dc.identifierhttp://arxiv.org/abs/0707.4469
dc.identifierAnnals of Probability 2008, Vol. 36, No. 5, 1611-1641
dc.identifierdoi:10.1214/07-AOP371
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169694
dc.subjectProbability
dc.subject60F10, 60J99 (Primary)
dc.titleLarge deviations for occupation times of Markov processes with $L_{\mathbf{2}}$ semigroups
dc.typetext

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