
Random Walks Of Infinitely Many Particles
Pal Revesz(Author)
World Scientific Publishing Co Pte Ltd
Published on 1. September 1994
Book
Hardback
208 pages
978-981-02-1784-6 (ISBN)
Description
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 Rd. In Part I the particles at time t = 0 are distributed in Rd 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.
More details
Series
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 16 mm
Weight
459 gr
ISBN-13
978-981-02-1784-6 (9789810217846)
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Schweitzer Classification
Person
Content
Part 1 Random Walk of a random Field: Brownian Motion of a Poisson Field; Extreme Value Problems; Changing the Initial Process and the Motion. Part 2 Branching Random Walk: Branching Random Walk Starting with One Particle; Branching Random Walks of a Random Field; Branching Wiener Process Starting with One Particle; Critical Branching Random Walk Starting with One Particle; Critical Branching Random Walks of a Random Field; Multitype Branching Random Walk. Part 3 Strassen Type Theorems: Infinitely Many Independent Particles; Branching Random Walk.