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Microsurveys in Discrete Probability -

Microsurveys in Discrete Probability

David Aldous, James Propp (Herausgeber)

Buch | Hardcover
232 Seiten
1998
American Mathematical Society (Verlag)
978-0-8218-0827-6 (ISBN)
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Contains eleven articles surveying topics in discrete probability. This title includes papers that are based on talks given by experts at the DIMACS 'Microsurveys in Discrete Probability' workshop held at the Institute for Advanced Study, Princeton, NJ. It also covers topics such as: Markov chains, random trees, and distributional estimates.
This book contains eleven articles surveying emerging topics in discrete probability. The papers are based on talks given by experts at the DIMACS 'Microsurveys in Discrete Probability' workshop held at the Institute for Advanced Study, Princeton, NJ. This compilation of current research in discrete probability provides a unique overview that is not available elsewhere in book or survey form. Topics covered in the volume include: Markov chains (perfect sampling, coupling from the past, mixing times), random trees (spanning trees on infinite graphs, enumeration of trees and forests, tree-valued Markov chains), distributional estimates (method of bounded differences, Stein-Chen method for normal approximation), dynamical percolation, and Poisson processes. It features surveys written and refereed by experts, and emerging areas of research in discrete probability theory not previously surveyed articles accessible to a broad readership.

Tree-valued Markov chains and Poisson-Galton-Watson distributions by D. Aldous On the central role of scale invariant Poisson processes on $(0, /infty)$ by R. Arratia Beyond the method of bounded differences by A. P. Godbole and P. Hitczenko Dynamical percolation: Early results and open problems by O. Haggstrom Distinguishing and reconstructing sceneries from observations along random walk paths by H. Kesten Mixing times by L. Lovasz and P. Winkler A bird's-eye view of uniform spanning trees and forests by R. Lyons Enumerations of trees and forests related to branching processes and random walks by J. Pitman Coupling from the past: A user's guide by J. Propp and D. Wilson Couplings for normal approximations with Stein's method by G. Reinert Annotated bibliography of perfectly random sampling with Markov chains by D. B. Wilson.

Erscheint lt. Verlag 30.5.1998
Reihe/Serie DIMACS: Series in Discrete Mathematics and Theoretical Computer Science
Zusatzinfo numerous line figures
Verlagsort Providence
Sprache englisch
Gewicht 617 g
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
ISBN-10 0-8218-0827-3 / 0821808273
ISBN-13 978-0-8218-0827-6 / 9780821808276
Zustand Neuware
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