Local large deviation principle for Wiener process with random resetting

A. Logachov, O. Logachova, A. Yambartsev

Research output: Contribution to journalArticlepeer-review

Abstract

We consider a class of Markov processes with resettings, where at random times, the Markov processes are restarted from a predetermined point or a region. These processes are frequently applied in physics, chemistry, biology, economics, and in population dynamics. In this paper, we establish the local large deviation principle (LLDP) for the Wiener processes with random resettings, where the resettings occur at the arrival time of a Poisson process. Here, at each resetting time, a new resetting point is selected at random, according to a conditional distribution.

Original languageEnglish
Article number2050032
Number of pages15
JournalStochastics and Dynamics
Volume20
Issue number5
DOIs
Publication statusPublished - 1 Oct 2020

Keywords

  • diffusive processes with resetting
  • local large deviation principle
  • Wiener process with resetting
  • DIFFERENTIAL-EQUATIONS
  • DEATH
  • TIME
  • BIRTH

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