The Art of Random Walks

Download or read book The Art of Random Walks written by Andras Telcs and published by Springer. This book was released on 2006-10-18 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.