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Random trees conditioned on the number of vertices and leaves - CMIH…
https://archive.cmih.maths.cam.ac.uk/events-archive/random-trees-conditioned-on-the-number-of-vertices-and-leaves/I will talk about Galton-Watson trees conditioned on both the total number of vertices $n$ and the number of leaves $k$. -
The Structure of Extreme Level Sets in Branching Brownian Motion -…
https://archive.cmih.maths.cam.ac.uk/events-archive/the-structure-of-extreme-level-sets-in-branching-brownian-motion/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. -
Abstract We survey the published work of Harry Kesten ...
www.statslab.cam.ac.uk/~grg/papers/kesten-ptrf-final.pdf13 Nov 2020: Harry Kesten’s work in probability theory 19. 6 Branching processes. The branching process (or, as Harry liked in later years to write, the Bienaymé–Galton–Watson process) is the most -
MATHEMATICAL TRIPOS Part IA 2018 List of Courses Analysis ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2018/list_ia_2018.pdf21 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) -
NEW FRONTIERS IN RANDOM GEOMETRY (RaG) EP/103372X/1 REPORT 1/7/14 ...
www.statslab.cam.ac.uk/~grg/rag-reports/report2015.pdf28 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 -
Harry Kesten (1931–2019) A personal and scientific tribute Geoffrey…
www.statslab.cam.ac.uk/~grg/papers/kesten-ams3-small.pdf20 Mar 2020: to the discretecase. Branching processes. The branching process (sometimes called the Galton–Watson process) is arguably the most fundamentalstochastic model for population growth. ... Stigum, A limit theorem for multidi-mensional Galton–Watson -
NEW FRONTIERS IN RANDOM GEOMETRY (RaG) EP/103372X/1 REPORT 1/9/11 ...
www.statslab.cam.ac.uk/~grg/rag-reports/report2012.pdf28 Jul 2015: Kozma5. Galton–Watson trees with vanishing martingale limit, N. Berestycki,. N. Gantert, P. -
elec.dvi
www.statslab.cam.ac.uk/~grg/papers/USelec.pdf15 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 -
RANDOM PLANAR GEOMETRY, LENT 2020, EXAMPLE SHEET 1 Please ...
www.statslab.cam.ac.uk/~jpm205/teaching/lent2020/example_sheet1.pdf4 Feb 2020: Problem 2. Suppose that τ is a Galton-Watson tree with Geometric(1/2) offspring distribution,viewed as a plane tree. -
rctree.dvi
www.statslab.cam.ac.uk/~grg/papers/USrctree.pdf15 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.
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