The art of random walks
Author(s)
Bibliographic Information
The art of random walks
（Lecture notes in mathematics, 1885）
Springer, c2006
Available at / 69 libraries
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||188506015289
-
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
519.282/T2352080047986
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references (p. [191]-195) and index
Description and Table of Contents
Description
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.
Table of Contents
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.
by "Nielsen BookData"