**Contemporary Mathematics**

Volume: 347;
2004;
258 pp;
Softcover

MSC: Primary 20; 60; 37; 52;

Print ISBN: 978-0-8218-3351-3

Product Code: CONM/347

List Price: $80.00

Individual Member Price: $64.00

**Electronic ISBN: 978-0-8218-7937-5
Product Code: CONM/347.E**

List Price: $80.00

Individual Member Price: $64.00

# Discrete Geometric Analysis

Share this page *Edited by *
*Motoko Kotani; Tomoyuki Shirai; Toshikazu Sunada*

This book is a collection of papers from the proceedings of
the first symposium of the Japan Association for Mathematical
Sciences. Topics covered center around problems of geometric analysis
in relation to heat kernels, random walks, and Poisson boundaries on
discrete groups, graphs, and other combinatorial objects.

The material is suitable for graduate students and research
mathematicians interested in heat kernels and random works on groups
and graphs.

#### Table of Contents

# Table of Contents

## Discrete Geometric Analysis

- Contents v6 free
- Foreword vii8 free
- Preface ix10 free
- On the asymptotic behavior of convolution powers and heat kernels on Lie groups 114 free
- Some spectral and geometric properties for infinite graphs 2942
- Asymptotic behavior of a transition probability for a random walk on a nilpotent covering graph 5770
- Non-commutative Poisson boundaries 6982
- Boundary amenability of hyperbolic spaces 8396
- Spectral analysis on tree like spaces from gauge theoretic view points 113126
- The Dehn filling space of a certain hyperbolic 3-orbifold 131144
- An asymptotic of the large deviation for random walks on a crystal lattice 141154
- Heat kernel estimates and law of the iterated logarithm for symmetric random walks on fractal graphs 153166
- Finite representations in the unitary dual and Ramanujan groups 173186
- Stabilization for SLn in bounded cohomology 191204
- Spectral theory of certain arithmetic graphs 203216
- Radial geometric analysis on groups 221234
- The heat kernel and the Green kernel of an infinite graph 245258

#### Readership

Graduate students and research mathematicians interested in heat kernel and random works on groups and graphs.