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On the shape of the domain occupied by a supercritical branching random walk


  • Révész, P.


A particle system on d is considered whose evolution is as follows. At each unit of time each particle independently is replaced by a new generation. The size of a new generation descending from a particle at site x has a distribution and each of its members independently jump to a neighbouring site with probability 1/2d. Let (T) be the set of the occupied sites at time T. The geometrical properties of (T) are studied.

Suggested Citation

  • Révész, P., 1996. "On the shape of the domain occupied by a supercritical branching random walk," Statistics & Probability Letters, Elsevier, vol. 30(4), pages 295-303, November.
  • Handle: RePEc:eee:stapro:v:30:y:1996:i:4:p:295-303

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    References listed on IDEAS

    1. Grill, Karl, 1996. "The range of simple branching random walk," Statistics & Probability Letters, Elsevier, vol. 26(3), pages 213-218, February.
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