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Functional iterations and periodic oscillations for simple random walk on the Sierpinski graph

Author

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  • Grabner, Peter J.
  • Woess, Wolfgang

Abstract

We use methods from asymptotic combinatorics and functional iterations to give a rigorous proof of the fluctuating behaviour of the n-step transition probabilities for the simple random walk on the Sierpinski graph.

Suggested Citation

  • Grabner, Peter J. & Woess, Wolfgang, 1997. "Functional iterations and periodic oscillations for simple random walk on the Sierpinski graph," Stochastic Processes and their Applications, Elsevier, vol. 69(1), pages 127-138, July.
    • Handle: RePEc:eee:spapps:v:69:y:1997:i:1:p:127-138
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    References listed on IDEAS

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    1. Jones, Owen Dafydd, 1996. "Transition probabilities for the simple random walk on the Sierpinski graph," Stochastic Processes and their Applications, Elsevier, vol. 61(1), pages 45-69, January.
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    Cited by:

    1. D. A. Dawson & L. G. Gorostiza & A. Wakolbinger, 2001. "Occupation Time Fluctuations in Branching Systems," Journal of Theoretical Probability, Springer, vol. 14(3), pages 729-796, July.

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