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Jason P. Miller
www.statslab.cam.ac.uk/~jpm205/24 Feb 2023: Watson andwith S.S. Watson andwith E. Gwynne andwith S. Sheffield andwith E. -
Statistical Laboratory, 1969
www.statslab.cam.ac.uk/files/Statistical%20Laboratory%20Photos/1960-1969/pic69.html21 Oct 2020: J.C.Gittins R.M.Loynes D.Mollison B.J.T.Morgan R.Morgan F.Papangelou M.J.Prentice R.Sibson S.R.Watson D.Williams. -
RaG publications
www.statslab.cam.ac.uk/~grg/rag-pubs.html24 Apr 2018: Galton–Watson trees with vanishing martingale limit. -
Publications | Statistical Laboratory
www.statslab.cam.ac.uk/publications?page=3512 Jul 2024: J Miller, SS Watson, DB Wilson. – The Annals of Probability. -
Articles
www.statslab.cam.ac.uk/~jpm205/articles.html24 Feb 2023: Miller, J.P., Watson, S.S., Wilson, D.B. ... Annals of Probability). Miller, J.P., Watson, S.S., Wilson, D.B. -
Statistical Laboratory, 1970
www.statslab.cam.ac.uk/files/Statistical%20Laboratory%20Photos/1970-1979/pic70.html21 Oct 2020: Gordon. A.W.F.Edwards J.L.Teugels S.R.Watson D.M.Titterington M.Elion R.L.Tweedie J.A.Lambert S.Chinn S.M.Leonard W.J.Anderson. -
Home Articles Slides Images CV Jason P. Miller University ...
www.statslab.cam.ac.uk/~jpm205/cv.html24 Feb 2023: Miller, J.P., Watson, S.S., Wilson, D.B. ... Annals of Probability). Miller, J.P., Watson, S.S., Wilson, D.B. -
Publications | Statistical Laboratory
www.statslab.cam.ac.uk/publications?page=3712 Jul 2024: J Miller, SS Watson, DB Wilson. – Probability Theory and Related Fields. -
History of the Statistical Laboratory | Statistical Laboratory
www.statslab.cam.ac.uk/history-statistical-laboratory12 Jul 2024: Search site. Statistical Laboratory. History of the Statistical Laboratory. A Realised Path. The Cambridge Statistical Laboratory upto 1993 (revised 2002). Contents. 1. 1947-55 Creation and confirmation. 1955-61 Disaster and diaspora. 1961-66 The -
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. -
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. -
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. -
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. -
DOMINIC WELSH (1938–2023) GEOFFREY R. GRIMMETT If the principal ...
www.statslab.cam.ac.uk/~grg/papers/welsh1.pdf1 May 2024: His 39 years as a Fellow have been exceeded by only few in recent times,including by his colleague Philip Watson (Fellow, 1950–1993), with whomDominic shared the privilege of teaching -
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. -
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. -
Dimension of Fractional Brownian motion with variable drift Yuval ...
www.statslab.cam.ac.uk/~ps422/dim-graph-image.pdf30 Oct 2013: The expression involves an adaptation of the parabolic dimensionpreviously used by Taylor and Watson to characterize polarity for the heat equation. ... by Taylor and Watson in [15] in order to determine polarsets for the heat equation. -
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:. -
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. -
David George Kendall Probably taken around 1975 when DGK ...
www.statslab.cam.ac.uk/~grg/papers/dgkUS.pdf8 Aug 2008: One might easily believe thathe accorded greater credit to the Reverend Henry William Watson for his foundingmembership of the Alpine Club than for his (incomplete) solution to the extinctionproblem for branching -
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 -
Liouville quantum gravity and the Brownian map
www.statslab.cam.ac.uk/~jpm205/slides/lqg_tbm_equivalence_oxford_2015.pdf24 Oct 2015: Jason Miller (MIT). Liouville quantum gravity and the Brownian map. Jason Miller and Scott Sheffield. Cambridge and MIT. July 15, 2015. Jason Miller (Cambridge) LQG and TBM July 15, 2015 1 / 24. Overview. Part I: Picking surfaces at random. 1. -
Convergence of percolation on random quadrangulations
www.statslab.cam.ac.uk/~jpm205/slides/percolation_convergence_oxford_may_2017.pdf1 Jun 2017: Convergence of percolation on randomquadrangulations. Jason Miller. Cambridge. Ewain Gwynne (MIT). May 22, 2017. Jason Miller (Cambridge) Convergence of percolation on random s May 22, 2017 1 / 28. Outline. Part I: Introduction — percolation and -
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 = -
UNIVERSITY OF CAMBRIDGE Faculty of Mathematics SCHEDULES OF LECTURE…
www.statslab.cam.ac.uk/~lab85/resources/schedules2324.pdf31 Oct 2023: UNIVERSITY OF CAMBRIDGE. Faculty of Mathematics. SCHEDULES OF LECTURE COURSES. AND FORM OF EXAMINATIONS. FOR THE MATHEMATICAL TRIPOS 2023-24. Revised 21 August 2023. TERM COURSES. 24 24 24 24 101 Vectors and Matrices Differential Equations Groups -
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. -
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 -
UNIVERSITY OF CAMBRIDGE Faculty of Mathematics SCHEDULES OF LECTURE…
www.statslab.cam.ac.uk/~lab85/resources/schedules1819.pdf2 May 2023: UNIVERSITY OF CAMBRIDGE. Faculty of Mathematics. SCHEDULES OF LECTURE COURSES. AND FORM OF EXAMINATIONS. FOR THE MATHEMATICAL TRIPOS 2018/2019. INTRODUCTION 1. THE MATHEMATICAL TRIPOS 2018–2019. CONTENTS. This booklet is the formal description of -
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 -
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. -
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 -
Mathematical Foundations of Infinite-Dimensional Statistical Models
www.statslab.cam.ac.uk/~nickl/Site/__files/FULLPDF.pdf25 Feb 2020: Mathematical Foundations of Infinite-DimensionalStatistical Models. In nonparametric and high-dimensional statistical models, the classical Gauss–Fisher–Le Cam theory of the optimality of maximum likelihood and Bayesianposterior inference does -
UNIVERSITY OF CAMBRIDGE Faculty of Mathematics SCHEDULES OF LECTURE…
www.statslab.cam.ac.uk/~lab85/resources/schedules1920.pdf2 May 2023: UNIVERSITY OF CAMBRIDGE. Faculty of Mathematics. SCHEDULES OF LECTURE COURSES. AND FORM OF EXAMINATIONS. FOR THE MATHEMATICAL TRIPOS 2019/2020. INTRODUCTION 1. THE MATHEMATICAL TRIPOS 2019–2020. CONTENTS. This booklet is the formal description of -
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? -
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) -
UNIVERSITY OF CAMBRIDGE Faculty of Mathematics SCHEDULES OF LECTURE…
www.statslab.cam.ac.uk/~lab85/resources/schedules2021.pdf2 May 2023: UNIVERSITY OF CAMBRIDGE. Faculty of Mathematics. SCHEDULES OF LECTURE COURSES. AND FORM OF EXAMINATIONS. FOR THE MATHEMATICAL TRIPOS 2020/2021. INTRODUCTION 1. THE MATHEMATICAL TRIPOS 2020–2021. CONTENTS. This booklet is the formal description of -
On the Optimality of LEPT and c Rules for Machines in Parallel
www.statslab.cam.ac.uk/~rrw1/publications/Chang%20...%20Weber%201992%20On%20the%20optimality%20of%20LEPT%20and%20cu%20rules%20for%20machines%20in%20parallel.pdf15 Sep 2011: CHENG-SHANG CHANG, T. J. Watson Research Center XIULI CHAO, New Jersey Institute of Technology MICHAEL PINEDO, Columbia University RICHARD WEBER, University of Cambridge. ... Watson Research Center, PO. Box 704, Yorktown. Heights, NY 10598, USA. -
UNIVERSITY OF CAMBRIDGE Faculty of Mathematics SCHEDULES OF LECTURE…
www.statslab.cam.ac.uk/~lab85/resources/schedules2122.pdf2 May 2023: UNIVERSITY OF CAMBRIDGE. Faculty of Mathematics. SCHEDULES OF LECTURE COURSES. AND FORM OF EXAMINATIONS. FOR THE MATHEMATICAL TRIPOS 2021/2022. INTRODUCTION 1. THE MATHEMATICAL TRIPOS 2021–2022. CONTENTS. This booklet is the formal description of -
UNIVERSITY OF CAMBRIDGE Faculty of Mathematics SCHEDULES OF LECTURE…
www.statslab.cam.ac.uk/~lab85/resources/schedules2223.pdf27 Apr 2023: UNIVERSITY OF CAMBRIDGE. Faculty of Mathematics. SCHEDULES OF LECTURE COURSES. AND FORM OF EXAMINATIONS. FOR THE MATHEMATICAL TRIPOS 2022/2023. TERM COURSES. 24 24 24 241 GROUPS VECTORS AND MATRICES NUMBERS AND SETS(4) DIFFERENTIAL EQUATIONS. 24 24 -
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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