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It is tempting to think that the result is‘obvious’, and indeed that a corresponding result should hold for any Galton–Watson process. ... Consider the ‘forward process’ given by ignoring backward children.This is simply a Poisson

I will talk about Galton-Watson trees conditioned on both the total number of vertices $n$ and the number of leaves $k$.

28 Jul 2015: Kozma5. Galton–Watson trees with vanishing martingale limit, N. Berestycki,. N. Gantert, P.

We start by recalling some well-known branching processes results (we include proofs for completeness).Let Xn,p denote a Galton–Watson branching process with Bin(n,p) offspring distribution, starting

Branching Brownian motion (BBM) is a classical process in probability, describing a population of particles performing independent Brownian motion and branching according to a Galton Watson process.

15 Aug 2012: See Harris (1963)Ch. I; this book uses the more traditional name Galton–Watson process for thebranching process). ... is any Bienaymé–Galton–Watson branching process with the mean number γ of offspring per individualstrictly greater than 1, but

15 Aug 2012: We consider a (Galton–Watson) branching process with family-size probabilitygenerating function G satisfying. ... Consider a multi-type (Galton–Watson) branching process with a set I of types;I may be finite or countably infinite.

1.0 CMIH - The Centre for Mathematical Imaging in Healthcare https://archive.cmih.maths.cam.ac.uk Random walks on decorated Galton-Watson trees - CMIH - The Centre for Mathematical Imaging in ... Healthcare rich 600 338 <blockquote

28 Jul 2015: Kozma, Bull. Soc. Math. France. 22. Galton–Watson trees with vanishing martingale limit, N.

23 Oct 2017: Kozma, Bull. Soc. Math. France 143 (2015), 265–280. 65. Galton–Watson trees with vanishing martingale limit, N.