书目名称 | The Art of Random Walks |
编辑 | András Telcs |
视频video | |
概述 | Includes supplementary material: |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | .Einstein proved that the mean square displacement of Brownian motion is proportional to time. He also proved that the diffusion constant depends on the mass and on the conductivity (sometimes referred to Einstein’s relation). The main aim of this book is to reveal similar 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 the heat diffusion at this general level and discusses the following topics:.....The multiplicative Einstein relation,....Isoperimetric inequalities,....Heat kernel estimates....Elliptic and parabolic Harnack inequality.... . |
出版日期 | Book 2006 |
关键词 | Brownian motion; diffusion; heat kernel; isoperimetric inequalities; random walk; reversible Markov chain |
版次 | 1 |
doi | https://doi.org/10.1007/b134090 |
isbn_softcover | 978-3-540-33027-1 |
isbn_ebook | 978-3-540-33028-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 2006 |