Overview

The articles in this volume present the state of the art in a variety of areas of discrete probability, including random walks on finite and infinite graphs, random trees, renewal sequences, Stein's method for normal approximation and Kohonen-type self-organizing maps. This volume also focuses on discrete probability and its connections with the theory of algorithms. Classical topics in discrete mathematics are represented as are expositions that condense and make readable some recent work on Markov chains, potential theory and the second moment method. This volume is suitable for mathematicians and students.

Full Product Details

Author:   David Aldous ,  Robin Pemantle
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1996
Volume:   76
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.50cm
Weight:   0.385kg
ISBN:  

9781461268819

ISBN 10:   1461268818
Pages:   225
Publication Date:   23 October 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Probability distributions on cladograms.- Stability of self-organizing processes.- Some examples of normal approximations by Stein’s method.- Large deviations for random distribution of mass.- Random minimax game tress.- Metrics on compositions and coincidences among renewal sequences.- The no long odd cycle theorem for completely positive matrices.- A note on triangle-free graphs.- Intersections and limits of regenerative sets.- Random processes of the form Xn+1 = anXn + bn (mod p) where bn takes on a single value.- The second moment method, conditioning and approximation.- How fast and where does a random walker move on a random tree?.- A note on recurrence, amenability, and the universal cover of graphs.- On which graphs are all random walks in random environments transient?.- Energy, and intersections of Markov chains.

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