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arxiv: 1612.00161 · v2 · submitted 2016-12-01 · 🧮 math.PR

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On the critical branching random walk II: Branching capacity and branching recurrence

Qingsan Zhu
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classification 🧮 math.PR
keywords branchingcapacitycriticalrandomrecurrencewalkanalogouscontinue
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We continue our study of critical branching random walk and branching capacity. In this paper we introduce branching recurrence and branching transience and prove an analogous version of Wiener's Test.

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  1. Multipoint connectivity in the branching interlacement process

    math.PR 2026-05 unverdicted novelty 6.0

    In the branching interlacement model, k points are connected almost surely by at most ceil(d(k-1)/4) - (k-2) trajectories, and this bound is tight.