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The Structure of Extreme Level Sets in Branching Brownian Motion -…
https://www.ccimi.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. -
Inhomogeneous Financial Networks and Contagious Links∗ Hamed Amini†…
https://api.newton.ac.uk/website/v0/events/preprints/NI14089sr}. Given i [r] let Xi(resp. Xi ) denote the Galton-Watson process starting at a particle of type si such that thenumber of children of type sk S of a ... β̂f). Remark 16 (Branching process approximation). Consider the multi-type Galton-Watson. -
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 -
Diffusion processes on branching Brownian motion - CMIH - The Centre…
https://archive.cmih.maths.cam.ac.uk/events-archive/diffusion-processes-on-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. -
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 -
INI Programme Mathematics and Applications of Fractals Report
https://api.newton.ac.uk/website/v0/events/apf/reports/scientific-reportmultifractal structure of Galton-Watson trees, and SJ Taylor and X Hu gave a multifractal. -
Scaling limit of a branching process in a varying environment - CMIH…
https://archive.cmih.maths.cam.ac.uk/events-archive/scaling-limit-of-a-branching-process-in-a-varying-environment/A branching process in varying environment is a Galton-Watson tree whose offspring distribution can change at each generation. ... to the Brownian Continuum Random Tree, as in the standard Galton-Watson setting. -
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 -
Sparse random graphs with clustering Béla Bollobás∗†‡ Svante…
https://api.newton.ac.uk/website/v0/events/preprints/NI08030It 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 -
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 $k$. -
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. -
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. -
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 GRAPHS WITH FORBIDDEN VERTEX DEGREES GEOFFREY GRIMMETT AND ...
www.statslab.cam.ac.uk/~grg/papers/sj208.pdf2 Jul 2009: Remark 3.2. It is easily seen, using (3.3), that ξ̂ equals the extinctionprobability of a Galton–Watson process with offspring distribution. ... Notethat φS1(µ) = φ′S(µ).) Hence γ̂, the asymptotic relative size of Γn,λn/n;S,equals by (3.4) -
https://archive.cmih.maths.cam.ac.uk/wp-json/oembed/1.0/embed?url=http…
https://archive.cmih.maths.cam.ac.uk/wp-json/oembed/1.0/embed?url=https%3A%2F%2Farchive.cmih.maths.cam.ac.uk%2Fevents-archive%2Frandom-walks-on-decorated-galton-watson-trees%2F&format=xml1.0 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 -
On the critical probability in percolation Svante Janson∗ and ...
https://api.newton.ac.uk/website/v0/events/preprints/NI16048We 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 -
NEW FRONTIERS IN RANDOM GEOMETRY (RaG)EP/103372X/1 REPORT 1/7/13 – ...
www.statslab.cam.ac.uk/~grg/rag-reports/report2014.pdf28 Jul 2015: Kozma, Bull. Soc. Math. France. 22. Galton–Watson trees with vanishing martingale limit, N. -
NEW FRONTIERS IN RANDOM GEOMETRY (RaG)EP/I03372X/1 REPORT 1/7/16 – ...
www.statslab.cam.ac.uk/~grg/rag-reports/report2017.pdf23 Oct 2017: Kozma, Bull. Soc. Math. France 143 (2015), 265–280. 65. Galton–Watson trees with vanishing martingale limit, N. -
Cutoff for Random Walk on Dynamical Erdős-Rényi Graph Perla ...
www.statslab.cam.ac.uk/~ps422/ER_Annealed.pdf21 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 = -
NEW FRONTIERS IN RANDOM GEOMETRY (RaG) EP/103372X/1 REPORT 1/7/12 ...
www.statslab.cam.ac.uk/~grg/rag-reports/report2013.pdf28 Jul 2015: Kozma. 6. Galton–Watson trees with vanishing martingale limit, N. Berestycki,N. Gantert, P.
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