The Art of Random Walks

Paperback Engels 2006 2006e druk 9783540330271
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

The main aim of this book is to reveal connections between the physical and geometric properties of space and diffusion. This is done in the context of random walks in the absence of algebraic structure, local or global spatial symmetry or self-similarity. The author studies heat diffusion at this general level and discusses the multiplicative Einstein relation; Isoperimetric inequalities; and Heat kernel estimates; Elliptic and parabolic Harnack inequality.

Specificaties

ISBN13:9783540330271
Taal:Engels
Bindwijze:paperback
Aantal pagina's:200
Uitgever:Springer Berlin Heidelberg
Druk:2006

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Inhoudsopgave

Potential theory and isoperimetric inequalities.- Basic definitions and preliminaries.- Some elements of potential theory.- Isoperimetric inequalities.- Polynomial volume growth.- Local theory.- Motivation of the local approach.- Einstein relation.- Upper estimates.- Lower estimates.- Two-sided estimates.- Closing remarks.- Parabolic Harnack inequality.- Semi-local theory.

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        The Art of Random Walks