Random Walks Of Infinitely Many Particles
by
Pal Revesz
Book Details
Format
Hardback or Cased Book
ISBN-10
9810217846
ISBN-13
9789810217846
Publisher
World Scientific Publishing Co Pte Ltd
Imprint
World Scientific Publishing Co Pte Ltd
Country of Manufacture
SG
Country of Publication
GB
Publication Date
Sep 1st, 1994
Print length
208 Pages
Product Classification:
Probability & statisticsProbability and statistics
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This work studies the independent motions of infinitely many particles in the d-dimensional Euclidean space Rd. It includes coverage of random walks, that is, to the case where the particles execute random motions and birth and death processes independently.
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.
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