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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) -
Large degrees yield short trees - CMIH - The Centre for Mathematical…
https://archive.cmih.maths.cam.ac.uk/events-archive/large-degrees-yield-short-trees/We use these results to obtain new height bounds on conditioned Bienaymé-Galton-Watson trees and simply generated trees. -
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. -
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 -
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 -
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. -
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 -
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 = -
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) -
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. -
notes.dvi
www.statslab.cam.ac.uk/~grg/papers/USrednotes.pdf15 Aug 2012: PERCOLATION ANDDISORDERED SYSTEMSGeorey GRIMMETT. 2PREFACEThis course aims to be a (nearly) self-contained account of part of the mathematicaltheory of percolation and related topics. The rst nine chapters summarise rigorousresults in percolation -
NEW FRONTIERS IN RANDOM GEOMETRY (RaG)EP/I03372X/1 REPORT 1/7/15 – ...
www.statslab.cam.ac.uk/~grg/rag-reports/report2016.pdf16 Jul 2016: Kozma, Bull. Soc. Math. France 143 (2015), 265–280. 52. Galton–Watson trees with vanishing martingale limit, N. -
https://www.ccimi.maths.cam.ac.uk/wp-json/oembed/1.0/embed?url=https%3…
https://www.ccimi.maths.cam.ac.uk/wp-json/oembed/1.0/embed?url=https%3A%2F%2Fwww.ccimi.maths.cam.ac.uk%2Fevents-archive%2Frandom-walks-on-decorated-galton-watson-trees%2F{"version":"1.0","provider_name":"CCIMI - Cantab Capital Institute for the Mathematics of Information","provider_url":"https://www.ccimi.maths.cam.ac.uk","title":"Random walks on decorated Galton-Watson trees - -
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{"version":"1.0","provider_name":"CMIH - The Centre for Mathematical Imaging in Healthcare","provider_url":"https://archive.cmih.maths.cam.ac.uk","title":"Random walks on decorated Galton-Watson trees - CMIH - -
Time series modelling and inference with Bayesian Context Trees
www-sigproc.eng.cam.ac.uk/foswiki/pub/Main/IP307/thesis_ip307.pdf6 Jul 2023: Time series modelling and inferencewith Bayesian Context Trees. Ioannis Papageorgiou. Department of EngineeringUniversity of Cambridge. This dissertation is submitted for the degree ofDoctor of Philosophy. St John’s College June 2023. I would like -
notes.dvi
www.statslab.cam.ac.uk/~grg/papers/USstflour.pdf15 Aug 2012: PERCOLATION ANDDISORDERED SYSTEMS. Georey GRIMMETT. 2PREFACEThis course aims to be a (nearly) self-contained account of part of the mathematicaltheory of percolation and related topics. The rst nine chapters summarise rigorousresults in percolation -
https://www.ccimi.maths.cam.ac.uk/wp-json/oembed/1.0/embed?url=https%3…
https://www.ccimi.maths.cam.ac.uk/wp-json/oembed/1.0/embed?url=https%3A%2F%2Fwww.ccimi.maths.cam.ac.uk%2Fevents-archive%2Fthe-structure-of-extreme-level-sets-in-branching-brownian-motion%2F&format=xmlGalton Watson process. -
notes-reprint2012.dvi
www.statslab.cam.ac.uk/~grg/papers/notes-reprint2012.pdf15 Aug 2012: PERCOLATION AND. DISORDERED SYSTEMS. Geoffrey GRIMMETT. Percolation and Disordered Systems 143. PREFACE. This course aims to be a (nearly) self-contained account of part of the math-ematical theory of percolation and related topics. The first nine -
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%2Fdiffusion-processes-on-branching-brownian-motion%2F&format=xmlbranching according to a Galton Watson process. -
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%2Flarge-degrees-yield-short-trees%2F&format=xmlWe use these results to obtain new height bounds on conditioned Bienaymé-Galton-Watson…Read more. -
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-trees-conditioned-on-the-number-of-vertices-and-leaves%2F&format=xmlof vertices and leaves I will talk about Galton-Watson trees conditioned on both the total number of vertices $n$ and the number of leaves $k$. -
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%2Fthe-structure-of-extreme-level-sets-in-branching-brownian-motion%2F&format=xmlin 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. -
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%2Fscaling-limit-of-a-branching-process-in-a-varying-environment%2F&format=xmlin a varying environment A branching process in varying environment is a Galton-Watson tree whose offspring distribution can change at each generation. -
Optimal Search for a Randomly Moving Object
www.statslab.cam.ac.uk/~rrw1/publications/Weber%201986%20Optimal%20search%20for%20a%20randomly%20moving%20object.pdf15 Sep 2011: 563-584]. Bisexual Galton-Watson Branching Processes with Superadditive Mating Functions [pp. 585-600]. ... The Maximum in Critical Galton-Watson and Birth and Death Processes [pp. -
J. Appl. Prob. 23, 841-847 (1986) Printed in Israel ...
www.statslab.cam.ac.uk/~rrw1/publications/Weber%20Varaiya%20Walrand%201986%20Scheduling%20jobs%20with%20stochastically%20ordered%20processing%20requirements%20to%20minimize%20expected%20flowtime.pdf15 Sep 2011: Bisexual Galton-Watson Branching Processes with Superadditive Mating Functions [pp.585-600]. The Maximum in Critical Galton-Watson and Birth and Death Processes [pp.601-613]. -
A Counterexample to a Conjecture on Optimal List Ordering
www.statslab.cam.ac.uk/~rrw1/publications/Anderson%20-%20Nash%20-%20Weber%201982%20A%20counterexample%20to%20a%20conjecture%20in%20optimal%20list%20ordering.pdf15 Sep 2011: 500-509]. Asymptotic Properties of Subcritical Galton-Watson Processes [pp. 510-517]. How Many Random Digits Are Required until Given Sequences Are Obtained?
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