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15 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

15 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

2 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)

15 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.

25 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

15 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

2 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

13 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

2 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

2 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