The Art of Random Walks
(Sprache: Englisch)
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....
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Produktinformationen zu „The Art of Random Walks “
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.
Klappentext zu „The Art of Random Walks “
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.
Inhaltsverzeichnis zu „The Art of Random Walks “
- Introduction- Basic Definitions and Preliminaries.
Part I Potential Theory and Isoperimetric Inequalities:
- Some Elements of Potential Theory
- Isoperimetric Inequalities
- Polynomial Volume Growth.
Part II Local Theory:
- Motivation of the Local Approach
- Einstein Relation
- Upper Estimates
- Lower Estimates
- Two-sided Estimates
- Closing Remarks
- Parabolic Harnack Inequality
- Semi-local Theory
- Subject Index
- References.
Autoren-Porträt von Andras Telcs
András Telcs is associated professor of the Budapest University of Technology. Formerly he taught statistics in business schools as well as worked for major libraries. His main research interests are random walks, discrete potential theory, active on different application of probability and statistics.
Bibliographische Angaben
- Autor: Andras Telcs
- 2006, 200 Seiten, Maße: 15,6 x 24 cm, Kartoniert (TB), Englisch
- Verlag: Springer
- ISBN-10: 3540330275
- ISBN-13: 9783540330271
Sprache:
Englisch
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