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4 Feb 2020: Problem 2. Suppose that τ is a Galton-Watson tree with Geometric(1/2) offspring distribution,viewed as a plane tree. ... Problem 5. Show that the tree (Tg,dg) encoded by a continuous function g : [0, 1] [0,) is anR-tree.

20 Apr 2012: For background on the critical Galton Watson tree conditioned to survive, see [16]. ... 8. Figure 3. A Galton-Watson tree with the set Br. Fix ε > 0.

28 Jul 2015: Po(λ) Galton-Watson tree. The results extend to graphs with prescribeddegree sequences, where cutoff is shown both for the simple and for thenon-backtracking random walk. ... Berestycki, G. Kozma, Bull. Soc. Math. France. 33. Galton–Watson trees with

21 Nov 2018: Cutoff for Random Walk on Dynamical Erdős-Rényi Graph. Perla Sousi Sam Thomas. Abstract. We consider dynamical percolation on the complete graph Kn, where each edge refreshes itsstate at rate µ 1/n, and is then declared open with probability p =

15 Aug 2012: See Harris (1963)Ch. I; this book uses the more traditional name Galton–Watson process for thebranching process). ... τ 0k and the conducting edges between them. converges in some distributional sense as n to a family tree of a

15 Aug 2012: Let T be the family-tree of a Galton–Watson branching process with a single progenitor 0, and we assume for simplicitythat every family-size is at least 1 and that ... We consider a (Galton–Watson) branching process with family-size