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The continuous-time frog model can spread arbitrarily fast

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  • Bezborodov, Viktor
  • Di Persio, Luca
  • Krueger, Tyll

Abstract

The aim of the paper is to demonstrate that the continuous-time frog model can spread arbitrary fast. The set of sites visited by an active particle can become infinite in a finite time.

Suggested Citation

  • Bezborodov, Viktor & Di Persio, Luca & Krueger, Tyll, 2021. "The continuous-time frog model can spread arbitrarily fast," Statistics & Probability Letters, Elsevier, vol. 172(C).
    • Handle: RePEc:eee:stapro:v:172:y:2021:i:c:s0167715221000080
    DOI: 10.1016/j.spl.2021.109046
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    References listed on IDEAS

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    1. Mallein, Bastien, 2015. "Maximal displacement of a branching random walk in time-inhomogeneous environment," Stochastic Processes and their Applications, Elsevier, vol. 125(10), pages 3958-4019.
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    Cited by:

    1. Bezborodov, Viktor & Di Persio, Luca & Kuchling, Peter, 2024. "Explosion and non-explosion for the continuous-time frog model," Stochastic Processes and their Applications, Elsevier, vol. 171(C).

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