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Positive Harmonic Functions and Diffusion

Name: Positive Harmonic Functions and Diffusion
Brand: Cambridge University Press
SKU: 9780521470148
Price: 19425.00 INR
Availability: InStock
ISBN: 9780521470148

POSITIVE HARMONIC FUNCTIONS &

Contributor(s): Pinsky, Ross G. Author , Bollobas, Bela Editor , Fulton, W. Editor Format: Hardback

Hardback · ISBN 9780521470148

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Key Specifications

ISBN	9780521470148
Subtitle	POSITIVE HARMONIC FUNCTIONS &
Publisher	Cambridge University Press
Publication date	December 1995
Language	English
MRP	£154.00 GBP
Page count	492
Item weight	196 g

In this book, Professor Pinsky gives a self-contained account of the construction and basic properties of diffusion processes, including both analytic and probabilistic techniques. He starts with a rigorous treatment of the spectral theory of elliptic operators with nice coefficients on smooth, bounded domains, and then develops the theory of the generalized principal eigenvalue and the related criticality theory for elliptic operators on arbitrary domains. He considers Martin boundary theory and calculates the Martin boundary for several classes of operators. The book provides an array of criteria for determining whether a diffusion process is transient or recurrent. Also introduced are the theory of bounded harmonic functions, and Brownian motion on a manifold. Many results that form the folklore of the subject are given a rigorous exposition, making this book a useful reference for the specialist, and an excellent guide for the graduate student.

Positive Harmonic Functions and Diffusion

Key Specifications

Pinsky, Ross G. Author

Bollobas, Bela Editor

Fulton, W. Editor

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