Long time behavior of telegraph processes under convex potentials
Author
dc.contributor.author
Fontbona Torres, Joaquín
Author
dc.contributor.author
Guerin, Helene
Author
dc.contributor.author
Malrieu, Florent
Admission date
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2017-03-01T20:46:10Z
Available date
dc.date.available
2017-03-01T20:46:10Z
Publication date
dc.date.issued
2016
Cita de ítem
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Stochastic Processes and their Applications. Volumen: 126 Número: 10 Páginas: 3077-3101
es_ES
Identifier
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10.1016/j.spa.2016.04.002
Identifier
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https://repositorio.uchile.cl/handle/2250/142900
Abstract
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We 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.