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Showing 1–3 of 3 results
Advanced filters: Author: N. Levernier Clear advanced filters
  • An analytical method of determining the mean first-passage time (the time taken by a random walker in confinement to reach a target point) is presented for a Gaussian non-Markovian random walker, thus revealing the importance of memory effects in first-passage statistics.

    • T. Guérin
    • N. Levernier
    • R. Voituriez
    Research
    Nature
    Volume: 534, P: 356-359
  • The persistence of random walker can quantify the kinetics of transport limited reactions and predict the time to reach a target, but is challenging for non-stationary random processes with a large number of degrees of freedom. The authors introduce a method to determine the persistence exponent of random processes with general non-stationary dynamics.

    • N. Levernier
    • T. V. Mendes
    • T. Guérin
    ResearchOpen Access
    Nature Communications
    Volume: 13, P: 1-7
  • The survival probability of a random walker is the probability that a particular target has not been reached by time t. Here the authors produce a formula for the prefactor involved in the expression of the survival probability which is shown to hold for both Markovian and non-Markovian processes.

    • N. Levernier
    • M. Dolgushev
    • T. Guérin
    ResearchOpen Access
    Nature Communications
    Volume: 10, P: 1-7