most citedThe critical Branching Markov Chain is transient

32 citations · 32 across the 1 of their papers we have counts for

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2 papers

math.PR2014

Ends of branching random walks on planar hyperbolic Cayley graphs

Lorenz A. Gilch, Sebastian Müller

We prove that the trace of a transient branching random walk on a planar hyperbolic Cayley graph has a.s. continuum many ends and no isolated end.

math.PR2005★ 32 cited

The critical Branching Markov Chain is transient

Nina Gantert, Sebastian Mueller

We investigate recurrence and transience of Branching Markov Chains (BMC) in discrete time. Branching Markov Chains are clouds of particles which move (according to an irreducible…