Survival probability of stochastic processes beyond persistence exponents

The survival probability of a random walker is the probability that a particular target has not been reached by time t. Here the authors produce a formula for the prefactor involved in the expression of the survival probability which is shown to hold for both Markovian and non-Markovian processes.

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Autores principales:	N. Levernier, M. Dolgushev, O. Bénichou, R. Voituriez, T. Guérin
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2019
Materias:	Science Q
Acceso en línea:	https://doaj.org/article/9aeb6d8782ee4b6ea00fd7c23c234714
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spelling	oai:doaj.org-article:9aeb6d8782ee4b6ea00fd7c23c2347142021-12-02T14:39:21ZSurvival probability of stochastic processes beyond persistence exponents10.1038/s41467-019-10841-62041-1723https://doaj.org/article/9aeb6d8782ee4b6ea00fd7c23c2347142019-07-01T00:00:00Zhttps://doi.org/10.1038/s41467-019-10841-6https://doaj.org/toc/2041-1723The survival probability of a random walker is the probability that a particular target has not been reached by time t. Here the authors produce a formula for the prefactor involved in the expression of the survival probability which is shown to hold for both Markovian and non-Markovian processes.N. LevernierM. DolgushevO. BénichouR. VoituriezT. GuérinNature PortfolioarticleScienceQENNature Communications, Vol 10, Iss 1, Pp 1-7 (2019)
institution	DOAJ
collection	DOAJ
language	EN
topic	Science Q
spellingShingle	Science Q N. Levernier M. Dolgushev O. Bénichou R. Voituriez T. Guérin Survival probability of stochastic processes beyond persistence exponents
description	The survival probability of a random walker is the probability that a particular target has not been reached by time t. Here the authors produce a formula for the prefactor involved in the expression of the survival probability which is shown to hold for both Markovian and non-Markovian processes.
format	article
author	N. Levernier M. Dolgushev O. Bénichou R. Voituriez T. Guérin
author_facet	N. Levernier M. Dolgushev O. Bénichou R. Voituriez T. Guérin
author_sort	N. Levernier
title	Survival probability of stochastic processes beyond persistence exponents
title_short	Survival probability of stochastic processes beyond persistence exponents
title_full	Survival probability of stochastic processes beyond persistence exponents
title_fullStr	Survival probability of stochastic processes beyond persistence exponents
title_full_unstemmed	Survival probability of stochastic processes beyond persistence exponents
title_sort	survival probability of stochastic processes beyond persistence exponents
publisher	Nature Portfolio
publishDate	2019
url	https://doaj.org/article/9aeb6d8782ee4b6ea00fd7c23c234714
work_keys_str_mv	AT nlevernier survivalprobabilityofstochasticprocessesbeyondpersistenceexponents AT mdolgushev survivalprobabilityofstochasticprocessesbeyondpersistenceexponents AT obenichou survivalprobabilityofstochasticprocessesbeyondpersistenceexponents AT rvoituriez survivalprobabilityofstochasticprocessesbeyondpersistenceexponents AT tguerin survivalprobabilityofstochasticprocessesbeyondpersistenceexponents
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Survival probability of stochastic processes beyond persistence exponents

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