2026-04-04T00:57:42Zhttps://recercat.cat/oai/requestoai:recercat.cat:2445/1022302025-12-04T20:41:43Zcom_2072_1057col_2072_478822col_2072_478917
RECERCAT
author
Montero Torralbo, Miquel
author
Villarroel, Javier
2016-09-28T16:00:02Z2016-09-28T16:00:02Z2016-09-262016-09-28T16:00:07Z
In this paper we consider a particular version of the random walk with restarts: random reset events which suddenly bring the system to the starting value. We analyze its relevant statistical properties, like the transition probability, and show how an equilibrium state appears. Formulas for the first-passage time, high-water marks, and other extreme statistics are also derived; we consider counting problems naturally associated with the system. Finally we indicate feasible generalizations useful for interpreting different physical effects.
(c) American Physical Society, 2016 info:eu-repo/semantics/openAccess
Rutes aleatòries (Matemàtica)
Processos estocàstics
Processos de Markov
Random walks (Mathematics)
Stochastic processes
Markov processes
Directed random walk with random restarts: The Sisyphus random walk
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion