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On the most visited sites of symmetric Markov processes

Author

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  • Eisenbaum, Nathalie
  • Khoshnevisan, Davar

Abstract

A growing body of recent works have been devoted to the study of the favorite points of various concrete Markov processes. We contribute to this subject by showing that for a large class of recurrent strongly symmetric Markov processes, singletons are polar for the most visited site(s).

Suggested Citation

  • Eisenbaum, Nathalie & Khoshnevisan, Davar, 2002. "On the most visited sites of symmetric Markov processes," Stochastic Processes and their Applications, Elsevier, vol. 101(2), pages 241-256, October.
    • Handle: RePEc:eee:spapps:v:101:y:2002:i:2:p:241-256
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    Cited by:

    1. Wu, Dongsheng & Xiao, Yimin, 2009. "Continuity in the Hurst index of the local times of anisotropic Gaussian random fields," Stochastic Processes and their Applications, Elsevier, vol. 119(6), pages 1823-1844, June.
    2. Chen, Dayue & de Raphélis, Loïc & Hu, Yueyun, 2018. "Favorite sites of randomly biased walks on a supercritical Galton–Watson tree," Stochastic Processes and their Applications, Elsevier, vol. 128(5), pages 1525-1557.
    3. Bo Li & Yimin Xiao & Xiaochuan Yang, 2019. "On the Favorite Points of Symmetric Lévy Processes," Journal of Theoretical Probability, Springer, vol. 32(4), pages 1943-1972, December.

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