Discrete Geometric Analysis

Häftad, Engelska, 2004

Av Motoko Kotani, Tomoyuki Shirai, Toshikazu Sunada

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This book is a collection of papers from the proceedings of the first symposium of the Japan Association for Mathematical Sciences. Topics covered in this book 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.

Produktinformation

Utgivningsdatum2004-05-01
Vikt490 g
FormatHäftad
SpråkEngelska
SerieContemporary Mathematics
FörlagAmerican Mathematical Society
ISBN9780821833513

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Matematik inom Naturvetenskap och teknik

On the asymptotic behavior of convolution powers and heat kernels on Lie groups by N. Lohoue and G. Alexopoulos Some spectral and geometric properties for infinite graphs by Y. Higuchi and T. Shirai Asymptotic behavior of a transition probability for a random walk on a nilpotent covering graph by S. Ishiwata Non-commutative Poisson boundaries by M. Izumi Boundary amenability of hyperbolic spaces by V. A. Kaimanovich Spectral analysis on tree like spaces from gauge theoretic view points by T. Kato The Dehn filling space of a certain hyperbolic 3-orbifold by S. Kojima and S. Mizushima An asymptotic of the large deviation for random walks on a crystal lattice by M. Kotani Heat kernel estimates and law of the iterated logarithm for symmetric random walks on fractal graphs by B. M. Hambly and T. Kumagai Finite representations in the unitary dual and Ramanujan groups by A. Lubotzky and Y. Shalom Stabilization for SL$_n$ in bounded cohomology by N. Monod Spectral theory of certain arithmetic graphs by H. Nagoshi Radial geometric analysis on groups by A. Nevo The heat kernel and the Green kernel of an infinite graph by H. Urakawa.