The Art of Random Walks
András Telcs (auth.)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.
Thể loại:
Năm:
2006
In lần thứ:
1
Nhà xuát bản:
Springer-Verlag Berlin Heidelberg
Ngôn ngữ:
english
Trang:
200
ISBN 10:
1402084307
ISBN 13:
9781402084300
Loạt:
Lecture Notes in Mathematics 1885
File:
PDF, 2.75 MB
IPFS:
,
english, 2006
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