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      On the boundary at infinity for branching random walk

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          Abstract

          We prove that supercritical branching random walk on a transient graph converges almost surely under rescaling to a random measure on the Martin boundary of the graph. Several open problems and conjectures about this limiting measure are presented.

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          Author and article information

          Journal
          30 May 2022
          Article
          2205.15287
          88703896-d799-43b2-a700-91ec9993f088

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          11 pages
          math.PR math.GR

          Probability,Algebra
          Probability, Algebra

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