Long time behavior of telegraph processes under convex potentials

dc.creatorFontbona Torres, Joaquín
dc.creatorGuerin, Helene
dc.creatorMalrieu, Florent
dc.date.accessioned2017-03-01T20:46:10Z
dc.date.available2017-03-01T20:46:10Z
dc.date.created2017-03-01T20:46:10Z
dc.date.issued2016
dc.identifierStochastic Processes and their Applications. Volumen: 126 Número: 10 Páginas: 3077-3101
dc.identifier10.1016/j.spa.2016.04.002
dc.identifierhttps://repositorio.uchile.cl/handle/2250/142900
dc.description.abstractWe study the long-time behavior of variants of the telegraph process with position-dependent jump rates, which result in a monotone gradient-like drift towards the origin. We compute their invariant laws and obtain, via probabilistic couplings arguments, some quantitative estimates of the total variation distance to equilibrium. Our techniques extend ideas previously developed for a simplified piecewise deterministic Markov model of bacterial chemotaxis. (C) 2016 Elsevier B.V. All rights reserved.
dc.languageen
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Chile
dc.sourceStochastic Processes and their Applications
dc.subjectTotal variation distance
dc.subjectChemotaxis models
dc.subjectTelegraph process
dc.subjectLong time behavior
dc.subjectCoupling
dc.subjectPiecewise Deterministic Markov Process
dc.titleLong time behavior of telegraph processes under convex potentials
dc.typeArtículo de revista


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