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The Art of Random Walks (Lecture Notes in Mathematics), by Andras Telcs
Download Ebook The Art of Random Walks (Lecture Notes in Mathematics), by Andras Telcs
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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.
- Sales Rank: #5414353 in Books
- Published on: 2006-06-30
- Released on: 2006-06-30
- Original language: English
- Number of items: 1
- Dimensions: 9.25" h x .48" w x 6.10" l, .0 pounds
- Binding: Paperback
- 200 pages
Review
From the reviews:
"This book studies random walks on countable infinite connected weighted graphs, with particular emphasis on fractal graphs like the Sierpinski triangular graph or the weighted Vicsek tree. … The book is intended to be self-contained and accessible to graduate and Ph.D. students. It contains a wealth of references, also on various aspects of random walks not covered by the text." (Wolfgang K�nig, Mathematical Reviews, Issue 2007 d)
"This book studies random walks on countable infinite connected weighted graphs, with particular emphasis on fractal graphs like the Sierpinski triangular graph or the weighted Vicsek tree. … The book is intended to be self-contained and accessible to graduate and PhD students. It contains a wealth of references, also on various aspects of random walks not covered by the text. At the end of the book a list of some dozens of types of inequalities appear that are introduced in the book" (Wolfgang K�nig, Zentralblatt MATH, Vol. 1104 (6), 2007)
About the Author
Andr�s 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.
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