Probability and Mathematical Genetics: Papers in Honour of Sir John Kingman

doi:10.1017/CBO9781139107174

Focussing on the work of Sir John Kingman, one of the world's leading researchers in probability and mathematical genetics, this book touches on the important areas of these subjects in the last 50 years. Leading authorities give a unique insight into a wide range of currently topical problems. Papers in probability concentrate on combinatorial and structural aspects, in particular exchangeability and regeneration. The Kingman coalescent links probability with mathematical genetics and is fundamental to the study of the latter. This has implications across the whole of genomic modelling including the Human Genome Project. Other papers in mathematical population genetics range from statistical aspects including heterogeneous clustering, to the assessment of molecular variability in cancer genomes. Further papers in statistics are concerned with empirical deconvolution, perfect simulation, and wavelets. This book will be warmly received by established experts as well as their students and others interested in the content.

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Contents

Frontmatter
pp i-vi
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Contents
pp vii-xii
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List of contributors
pp xiii-xiv
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Preface
pp xv-xviii
- By N. H. Bingham, Imperial College London, C. M. Goldie, University of Sussex
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Bibliography of J. F. C. Kingman
pp 1-16
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1 - A fragment of autobiography, 1957–1967
pp 17-34
- By J. F. C. Kingman, University of Bristol
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2 - More uses of exchangeability: representations of complex random structures
pp 35-63
- By David J. Aldous, University of California at Berkeley
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3 - Perfect simulation using dominated coupling from the past with application to area-interaction point processes and wavelet thresholding
pp 64-90
- By G. K. Ambler, University of Cambridge, B. W. Silverman, University of Oxford
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4 - Assessing molecular variability in cancer genomes
pp 91-112
- By A. D. Barbour, University of Zürich, S. Tavaré, University of Cambridge
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5 - Branching out
pp 113-134
- By J. D. Biggins, University of Sheffield
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6 - Kingman, category and combinatorics
pp 135-168
- By N. H. Bingham, Imperial College London, A. J. Ostaszewski, London School of Economics
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7 - Long-range dependence in a Cox process directed by an alternating renewal process
pp 169-184
- By D. J. Daley, Australian National University and University of Melbourne
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8 - Kernel methods and minimum contrast estimators for empirical deconvolution
pp 185-203
- By Aurore Delaigle, University of Melbourne and University of Bristol, Peter Hall, University of Melbourne and University of California at Davis
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9 - The coalescent and its descendants
pp 204-237
- By Peter Donnelly, University of Oxford, Stephen Leslie, University of Oxford
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10 - Kingman and mathematical population genetics
pp 238-263
- By Warren J. Ewens, University of Pennsylvania, Geoffrey A. Watterson, Monash University
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11 - Characterizations of exchangeable partitions and random discrete distributions by deletion properties
pp 264-298
- By Alexander Gnedin, University of Utrecht, Chris Haulk, University of California at Berkeley, Jim Pitman, University of California at Berkeley
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12 - Applying coupon-collecting theory to computer-aided assessments
pp 299-318
- By C. M. Goldie, University of Sussex, R. Cornish, University of Bristol, C. L. Robinson, Loughborough University
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13 - Colouring and breaking sticks: random distributions and heterogeneous clustering
pp 319-344
- By Peter J. Green, University of Bristol
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14 - The associated random walk and martingales in random walks with stationary increments
pp 345-357
- By D. R. Grey, University of Sheffield
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15 - Diffusion processes and coalescent trees
pp 358-379
- By R. C. Griffiths, University of Oxford, D. Spanó, University of Warwick
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16 - Three problems for the clairvoyant demon
pp 380-396
- By Geoffrey Grimmett, University of Cambridge
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17 - Homogenization for advection-diffusion in a perforated domain
pp 397-415
- By P. H. Haynes, University of Cambridge, V. H. Hoang, University, Singapore, J. R. Norris, University of Cambridge, K. C. Zygalakis, University of Oxford
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18 - Heavy traffic on a controlled motorway
pp 416-445
- By F. P. Kelly, University of Cambridge, R. J. Williams, University of California
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19 - Coupling time distribution asymptotics for some couplings of the Lévy stochastic area
pp 446-463
- By W. S. Kendall, University of Warwick
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20 - Queueing with neighbours
pp 464-482
- By V. Shcherbakov, Moscow State University, S. Volkov, University of Bristol
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21 - Optimal information feed
pp 483-490
- By P. Whittle, University of Cambridge
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22 - A dynamical-system picture of a simple branching-process phase transition
pp 491-508
- By David Williams, Swansea University
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Index
pp 509-528
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Probability and Mathematical Genetics

Papers in Honour of Sir John Kingman

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