Probability and Mathematical Genetics
Papers in Honour of Sir John Kingman

Leading authorities cover a wide range of currently topical problems in probability and mathematical genetics.

N. H. Bingham (Edited by), C. M. Goldie (Edited by)

9780521145770, Cambridge University Press

Paperback, published 15 July 2010

546 pages, 30 b/w illus. 10 tables
22.1 x 15 x 2.1 cm, 0.77 kg

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.

Preface
List of contributors
Bibliography of J. F. C. Kingman
1. A fragment of autobiography, 1957–1967 J. F. C. Kingman
2. More uses of exchangeability: representations of complex random structures David J. Aldous
3. Perfect simulation using dominated coupling from the past with application to area-interaction point processes and wavelet thresholding G. K. Ambler and B. W. Silverman
4. Assessing molecular variability in cancer genomes A. D. Barbour and S. Tavaré
5. Branching out J. D. Biggins
6. Kingman, category and combinatorics N. H. Bingham and A. J. Ostaszewski
7. Long-range dependence in a Cox process directed by an alternating renewal process D. J. Daley
8. Kernel methods and minimum contrast estimators for empirical deconvolution Aurore Delaigle and Peter Hall
9. The coalescent and its descendants Peter Donnelly and Stephen Leslie
10. Kingman and mathematical population genetics Warren J. Ewens and Geoffrey A. Watterson
11. Characterizations of exchangeable partitions and random discrete distributions by deletion properties Alexander Gnedin, Chris Haulk and Jim Pitman
12. Applying coupon-collecting theory to computer-aided assessments C. M. Goldie, R. Cornish and C. L. Robinson
13. Colouring and breaking sticks: random distributions and heterogeneous clustering Peter J. Green
14. The associated random walk and martingales in random walks with stationary increments D. R. Grey
15. Diffusion processes and coalescent trees R. C. Griffiths and D. Spanó
16. Three problems for the clairvoyant demon Geoffrey Grimmett
17. Homogenization for advection-diffusion in a perforated domain P. H. Haynes, V. H. Hoang, J. R. Norris and K. C. Zygalakis
18. Heavy traffic on a controlled motorway F. P. Kelly and R. J. Williams
19. Coupling time distribution asymptotics for some couplings of the Lévy stochastic area W. S. Kendall
20. Queueing with neighbours V. Shcherbakov and S. Volkov
21. Optimal information feed P. Whittle
22. A dynamical-system picture of a simple branching-process phase transition David Williams
Index.

Subject Areas: Genetics [non-medical PSAK], Probability & statistics [PBT]