RANDOM WALKS OF INFINITELY MANY... (V1)

By: REVESZ PAL

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Hardcover | 11 September 1994

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Hardcover
208 Pages

Dimensions(cm)
22.86 x 15.24 x 1.27

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The author's previous book, Random Walk in Random and Non-Random Environments, was devoted to the investigation of the Brownian motion of a simple particle. The present book studies the independent motions of infinitely many particles in the d-dimensional Euclidean space R^d. In Part I the particles at time t = 0 are distributed in R^d according to the law of a given random field and they execute independent random walks. Part II is devoted to branching random walks, i.e. to the case where the particles execute random motions and birth and death processes independently. Finally, in Part III, functional laws of iterated logarithms are proved for the cases of independent motions and branching processes.

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Preface
Introduction
Notations and abbreviations
Brownian motion of a Poisson field	p. 3
Extreme value problems	p. 29
Changing the initial process and the motion	p. 49
Branching random walk starting with one particle	p. 61
Branching random walks of a random field	p. 83
Branching Wiener process starting with one particle	p. 91
Critical branching random walk starting with one particle	p. 109
Critical branching random walks of a random field	p. 129
Multitype branching random walk	p. 139
Infinitely many independent particles	p. 161
Branching random walk	p. 171
Historical overview	p. 179
References	p. 185
Author Index	p. 189
Subject Index	p. 191
Table of Contents provided by Blackwell. All Rights Reserved.

RANDOM WALKS OF INFINITELY MANY... (V1)

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

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