First-passage-time exponent for higher-order random walks: Using Lévy flights

Research output: Contribution to journalArticle

7 Scopus citations


A relation between the shift in the first-passage-time exponent and the decay rate of the probability of N velocity zero crossings for the nth random walk is presented. By slicing time in terms of velocity zero crossings, higher-order random walks are characterized in terms of a one-dimensional Lévy process.

Original languageEnglish (US)
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number1 II
StatePublished - Jul 2001
Externally publishedYes


ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

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