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Microsurveys in Discrete Probability
 
Edited by: David Aldous University of California, Berkeley, Berkeley, CA
James Propp University of Wisconsin, Madison, Madison, WI
A co-publication of the AMS and DIMACS
Front Cover for Microsurveys in Discrete Probability
Available Formats:
Hardcover ISBN: 978-0-8218-0827-6
Product Code: DIMACS/41
List Price: $53.00
MAA Member Price: $47.70
AMS Member Price: $42.40
Electronic ISBN: 978-1-4704-3999-6
Product Code: DIMACS/41.E
List Price: $50.00
MAA Member Price: $45.00
AMS Member Price: $40.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $79.50
MAA Member Price: $71.55
AMS Member Price: $63.60
Front Cover for Microsurveys in Discrete Probability
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  • Front Cover for Microsurveys in Discrete Probability
  • Back Cover for Microsurveys in Discrete Probability
Microsurveys in Discrete Probability
Edited by: David Aldous University of California, Berkeley, Berkeley, CA
James Propp University of Wisconsin, Madison, Madison, WI
A co-publication of the AMS and DIMACS
Available Formats:
Hardcover ISBN:  978-0-8218-0827-6
Product Code:  DIMACS/41
List Price: $53.00
MAA Member Price: $47.70
AMS Member Price: $42.40
Electronic ISBN:  978-1-4704-3999-6
Product Code:  DIMACS/41.E
List Price: $50.00
MAA Member Price: $45.00
AMS Member Price: $40.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $79.50
MAA Member Price: $71.55
AMS Member Price: $63.60
  • Book Details
     
     
    DIMACS - Series in Discrete Mathematics and Theoretical Computer Science
    Volume: 411998; 220 pp
    MSC: Primary 60; Secondary 05;



    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.

    Features:

    • surveys written and refereed by experts
    • emerging areas of research in discrete probability theory not previously surveyed
    • articles accessible to a broad readership

    Readership

    Graduate students and researchers in probability and discrete mathematics and theoretical computer scientists.

  • Table of Contents
     
     
    • Chapters
    • Tree-valued Markov chains and Poisson-Galton-Watson distributions
    • On the central role of scale invariant Poisson processes on $(0, \infty )$
    • Beyond the method of bounded differences
    • Dynamical percolation: Early results and open problems
    • Distinguishing and reconstructing sceneries from observations along random walk paths
    • Mixing times
    • A bird’s-eye view of uniform spanning trees and forests
    • Enumerations of trees and forests related to branching processes and random walks
    • Coupling from the past: A user’s guide
    • Couplings for normal approximations with Stein’s method
    • Annotated bibliography of perfectly random sampling with Markov chains
  • Reviews
     
     
    • This book contains several truly excellent surveys in discrete applied probability. The editors have done a splendid job of getting well-written articles, and this is well worth the price. The idea of publishing good up-to-date surveys is commendable.

      Journal of the American Statistical Association
  • Request Review Copy
Volume: 411998; 220 pp
MSC: Primary 60; Secondary 05;



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.

Features:

  • surveys written and refereed by experts
  • emerging areas of research in discrete probability theory not previously surveyed
  • articles accessible to a broad readership

Readership

Graduate students and researchers in probability and discrete mathematics and theoretical computer scientists.

  • Chapters
  • Tree-valued Markov chains and Poisson-Galton-Watson distributions
  • On the central role of scale invariant Poisson processes on $(0, \infty )$
  • Beyond the method of bounded differences
  • Dynamical percolation: Early results and open problems
  • Distinguishing and reconstructing sceneries from observations along random walk paths
  • Mixing times
  • A bird’s-eye view of uniform spanning trees and forests
  • Enumerations of trees and forests related to branching processes and random walks
  • Coupling from the past: A user’s guide
  • Couplings for normal approximations with Stein’s method
  • Annotated bibliography of perfectly random sampling with Markov chains
  • This book contains several truly excellent surveys in discrete applied probability. The editors have done a splendid job of getting well-written articles, and this is well worth the price. The idea of publishing good up-to-date surveys is commendable.

    Journal of the American Statistical Association
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