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Statistics of visits to sites in random walks

Author

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  • Ferraro, M.
  • Zaninetti, L.

Abstract

This paper analyses the statistics of visits to a site in random walks. First general formulas will be derived, and next they will be applied to simple symmetric random walks on finite and infinite lattices; the dependence of the statistics on the lattices dimensionality will also be studied. Finally, an application will be presented to explain the structure of the radio-maps that trace the supernova remnants.

Suggested Citation

  • Ferraro, M. & Zaninetti, L., 2004. "Statistics of visits to sites in random walks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(3), pages 307-318.
    • Handle: RePEc:eee:phsmap:v:338:y:2004:i:3:p:307-318
    DOI: 10.1016/j.physa.2004.01.062
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    Cited by:

    1. Csáki, Endre & Csörgo, Miklós & Földes, Antónia & Révész, Pál, 2011. "On the local time of random walk on the 2-dimensional comb," Stochastic Processes and their Applications, Elsevier, vol. 121(6), pages 1290-1314, June.

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