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RaG publications
www.statslab.cam.ac.uk/~grg/rag-pubs.html24 Apr 2018: Galton–Watson trees with vanishing martingale limit. -
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. -
Collisions of Random Walks Martin T. Barlow∗ Yuval Peres† ...
www.statslab.cam.ac.uk/~ps422/collisions-rws.pdf20 Apr 2012: For background on the critical Galton Watson tree conditioned to survive, see [16]. ... SeeCorollary 3.5 for a class of critical Galton-Watson trees with infinite variance. -
Probability J.R. Norris January 22, 2024 1 Contents 1 ...
www.statslab.cam.ac.uk/~james/Lectures/p.pdf22 Jan 2024: 42. 14 Branching processes. 14.1 Definition. A branching process or Galton–Watson process is a random process (Xn : n 0) with thefollowing structure:. -
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. -
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. -
PUBLICATIONS OF HARRY KESTEN 1950 1960 1970 1980 1990 ...
www.statslab.cam.ac.uk/~grg/papers/kesten-bib.pdf18 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. -
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. -
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 -
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. -
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. -
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/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. -
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 -
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. -
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 -
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 -
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]. -
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 -
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? -
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) -
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
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