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30 Aug 2019: λeλ. 4. (i) Let T(n,p) be the Galton–Watson branching process with offspring distribution Bi(n, p).Show that, for p = (1 ε)/n, with ε > 0 small, the ... survival probability ρ = ρ(n,p) of thebinomial Galton–Watson branching process Tn,p

21 May 2024: Reinforced Galton-Watson processes..

1.0 CCIMI - Cantab Capital Institute for the Mathematics of Information https://www.ccimi.maths.cam.ac.uk Random walks on decorated Galton-Watson trees - CCIMI - Cantab Capital Institute for the ... Mathematics of Information rich 600 338 <blockquote

4 Feb 2020: Problem 2. Suppose that τ is a Galton-Watson tree with Geometric(1/2) offspring distribution,viewed as a plane tree.

Random walks on decorated Galton-Watson trees.

Random walks on decorated Galton-Watson trees.

18 Oct 2021: Kesten and B. P. Stigum. Additional limit theorems for in-decomposable multidimensional Galton–Watson processes. ... A limit theorem for multidimen-sional Galton–Watson processes. Ann. Math. Statist., 37:1211–1223, 1966.

If ξ is Po(r) distributed we call T ξ a Poisson(r) Galton-Watson tree. ... Lemma 6.4 ([29], Lemma 2.1). Let T be a Poisson(r) Galton-Watson tree.

21 Aug 2019: 11F Probability. (a) Consider a Galton–Watson process (Xn). Prove that the extinction probability q isthe smallest non-negative solution of the equation q = F(q) where F(t) = ... In the case of a Galton–Watson process with. P(X1 = 1) = 1/4, P(X1 = 3)

We use these results to obtain new height bounds on conditioned Bienaymé-Galton-Watson trees and simply generated trees.