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Approximating critical parameters of branching random walks

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  • معلومة اضافية
    • Contributors:
      Bertacchi, D; Zucca, F
    • بيانات النشر:
      Applied Probability Trust.
    • الموضوع:
      2009
    • Collection:
      Università degli Studi di Milano-Bicocca: BOA (Bicocca Open Archive)
    • نبذة مختصرة :
      Given a branching random walk on a graph, we consider two kinds of truncations: by inhibiting the reproduction outside a subset of vertices and by allowing at most $m$ particles per site. We investigate the convergence of weak and strong critical parameters of these truncated branching random walks to the analogous parameters of the original branching random walk. As a corollary, we apply our results to the study of the strong critical parameter of a branching random walk restricted to the cluster of a Bernoulli bond percolation
    • Relation:
      info:eu-repo/semantics/altIdentifier/wos/WOS:000267854000012; volume:46; issue:2; firstpage:463; lastpage:478; numberofpages:16; journal:JOURNAL OF APPLIED PROBABILITY; http://hdl.handle.net/10281/6813; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-67949114332; http://projecteuclid.org/DPubS/Repository/1.0/Disseminate?handle=euclid.jap/1245676100&view=body&content-type=pdfview_1
    • الرقم المعرف:
      10.1239/jap/1245676100
    • الدخول الالكتروني :
      http://hdl.handle.net/10281/6813
      https://doi.org/10.1239/jap/1245676100
      http://projecteuclid.org/DPubS/Repository/1.0/Disseminate?handle=euclid.jap/1245676100&view=body&content-type=pdfview_1
    • Rights:
      info:eu-repo/semantics/openAccess
    • الرقم المعرف:
      edsbas.B78E6312