Random Walks of Infinitely Many Particle

Random Walks of Infinitely Many Particle
Pris
Pris
1 569,- 1 569,-
E-Bok
Format E-Bok
Filformat PDF
Utgivelsesår 1994
Forlag World Scientific Publishing Co
Språk Engelsk
ISBN 9789814350242
Sider 208
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Om Random Walks of Infinitely Many Particle

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.Contents:Random Walk of a Random Field:Brownian Motion of a Poisson FieldExtreme Value ProblemsChanging the Initial Process and the MotionBranching Random Walk:Branching Random Walk Starting with One ParticleBranching Random Walks of a Random FieldBranching Wiener Process Starting with One ParticleCritical Branching Random Walk Starting with One ParticleCritical Branching Random Walks of a Random FieldMultitype Branching Random WalkStrassen Type Theorems:Infinitely Many Independent ParticlesBranching Random WalkReadership: Mathematicians.Key Features:Draws on current case histories from the Asia Pacific, the USA, and EuropeOffers concise pointers on how to implement risk and crisis management strategies in real-world situationsIncludes key study themes and a Q&A section to enable readers to deepen their awareness of risk and crisis management issues


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