Survival probabilities of history-dependent random walks

Uri Keshet, Shahar Hod

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


We analyze the dynamics of random walks with long-term memory (binary chains with long-range correlations) in the presence of an absorbing boundary. An analytically solvable model is presented, in which a dynamical phase transition occurs when the correlation strength parameter μ reaches a critical value μc. For strong positive correlations, μ>μc, the survival probability is asymptotically finite, whereas for μ<μc it decays as a power law in time (chain length).

Original languageEnglish
Article number046144
JournalPhysical Review E
Issue number4
StatePublished - 1 Oct 2005
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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