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Critical branching random walk in an IID environment

Author

Listed:
  • Engländer János

    (Department of Mathematics, University of Colorado, Boulder, CO-80309-0395, USA.)

  • Sieben Nándor

    (Department of Mathematics and Statistics, Northern Arizona University, Flagstaff, AZ-86011, USA.)

Abstract

Using a high performance computer cluster, we run simulations regarding an open problem about d-dimensional critical branching random walks in a random IID environment The environment is given by the rule that at every site independently, with probability p ∈ [0, 1], there is a cookie, completely suppressing the branching of any particle located there.

Suggested Citation

  • Engländer János & Sieben Nándor, 2011. "Critical branching random walk in an IID environment," Monte Carlo Methods and Applications, De Gruyter, vol. 17(2), pages 169-193, January.
    • Handle: RePEc:bpj:mcmeap:v:17:y:2011:i:2:p:169-193:n:4
    DOI: 10.1515/mcma.2011.008
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