Survival probability of stochastic processes beyond persistence exponents

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.

Bibliographic Details
Main Authors: N. Levernier, M. Dolgushev, O. Bénichou, R. Voituriez, T. Guérin
Format: Article
Language:English
Published: Nature Publishing Group 2019-07-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-019-10841-6
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spelling doaj-9aeb6d8782ee4b6ea00fd7c23c2347142021-05-11T12:29:21ZengNature Publishing GroupNature Communications2041-17232019-07-011011710.1038/s41467-019-10841-6Survival probability of stochastic processes beyond persistence exponentsN. Levernier0M. Dolgushev1O. Bénichou2R. Voituriez3T. Guérin4NCCR Chemical Biology, Departments of Biochemistry and Theoretical Physics, University of GenevaLaboratoire de Physique Théorique de la Matière Condensée, CNRS/Sorbonne Université, 4 Place JussieuLaboratoire de Physique Théorique de la Matière Condensée, CNRS/Sorbonne Université, 4 Place JussieuLaboratoire de Physique Théorique de la Matière Condensée, CNRS/Sorbonne Université, 4 Place JussieuLaboratoire Ondes et Matière d’Aquitaine, University of Bordeaux, Unité Mixte de Recherche 5798, CNRSThe 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.https://doi.org/10.1038/s41467-019-10841-6
collection DOAJ
language English
format Article
sources DOAJ
author N. Levernier
M. Dolgushev
O. Bénichou
R. Voituriez
T. Guérin
spellingShingle N. Levernier
M. Dolgushev
O. Bénichou
R. Voituriez
T. Guérin
Survival probability of stochastic processes beyond persistence exponents
Nature Communications
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 Publishing Group
series Nature Communications
issn 2041-1723
publishDate 2019-07-01
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.
url https://doi.org/10.1038/s41467-019-10841-6
work_keys_str_mv AT nlevernier survivalprobabilityofstochasticprocessesbeyondpersistenceexponents
AT mdolgushev survivalprobabilityofstochasticprocessesbeyondpersistenceexponents
AT obenichou survivalprobabilityofstochasticprocessesbeyondpersistenceexponents
AT rvoituriez survivalprobabilityofstochasticprocessesbeyondpersistenceexponents
AT tguerin survivalprobabilityofstochasticprocessesbeyondpersistenceexponents
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