Striking universalities in stochastic resetting processes

N. R. Smith, S. N. Majumdar, Grégory Schehr

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

Given a random process which undergoes stochastic resetting at a constant rate r to a position drawn from a distribution , we consider a sequence of dynamical observables associated to the intervals between resetting events. We calculate exactly the probabilities of various events related to this sequence: that the last element is larger than all previous ones, that the sequence is monotonically increasing, etc. Remarkably, we find that these probabilities are “super-universal”, i.e., that they are independent of the particular process , the observables A k 's in question and also the resetting distribution . For some of the events in question, the universality is valid provided certain mild assumptions on the process and observables hold (e.g., mirror symmetry).

Original languageEnglish
Article number51002
JournalEPL
Volume142
Issue number5
DOIs
StatePublished - 1 Jun 2023

ASJC Scopus subject areas

  • General Physics and Astronomy

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