eBook ISBN:  9780821879375 
Product Code:  CONM/347.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821879375 
Product Code:  CONM/347.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 347; 2004; 258 ppMSC: Primary 20; 60; 37; 52
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.
ReadershipGraduate students and research mathematicians interested in heat kernel and random works on groups and graphs.

Table of Contents

Articles

Noël Lohoué and Georgios Alexopoulos — On the asymptotic behavior of convolution powers and heat kernels on Lie groups [ MR 2077028 ]

Yusuke Higuchi and Tomoyuki Shirai — Some spectral and geometric properties for infinite graphs [ MR 2077029 ]

Satoshi Ishiwata — Asymptotic behavior of a transition probability for a random walk on a nilpotent covering graph [ MR 2077030 ]

Masaki Izumi — Noncommutative Poisson boundaries [ MR 2077031 ]

Vadim A. Kaimanovich — Boundary amenability of hyperbolic spaces [ MR 2077032 ]

Tsuyoshi Kato — Spectral analysis on tree like spaces from gauge theoretic view points [ MR 2077033 ]

Sadayoshi Kojima and Shigeru Mizushima — The Dehn filling space of a certain hyperbolic 3orbifold [ MR 2077034 ]

Motoko Kotani — An asymptotic of the large deviation for random walks on a crystal lattice [ MR 2077035 ]

Ben M. Hambly and Takashi Kumagai — Heat kernel estimates and law of the iterated logarithm for symmetric random walks on fractal graphs [ MR 2077036 ]

Alexander Lubotzky and Yehuda Shalom — Finite representations in the unitary dual and Ramanujan groups [ MR 2077037 ]

Nicolas Monod — Stabilization for ${\rm SL}_n$ in bounded cohomology [ MR 2077038 ]

Hirofumi Nagoshi — Spectral theory of certain arithmetic graphs [ MR 2077039 ]

Amos Nevo — Radial geometric analysis on groups [ MR 2077040 ]

Hajime Urakawa — The heat kernel and the Green kernel of an infinite graph [ MR 2077041 ]


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

Articles

Noël Lohoué and Georgios Alexopoulos — On the asymptotic behavior of convolution powers and heat kernels on Lie groups [ MR 2077028 ]

Yusuke Higuchi and Tomoyuki Shirai — Some spectral and geometric properties for infinite graphs [ MR 2077029 ]

Satoshi Ishiwata — Asymptotic behavior of a transition probability for a random walk on a nilpotent covering graph [ MR 2077030 ]

Masaki Izumi — Noncommutative Poisson boundaries [ MR 2077031 ]

Vadim A. Kaimanovich — Boundary amenability of hyperbolic spaces [ MR 2077032 ]

Tsuyoshi Kato — Spectral analysis on tree like spaces from gauge theoretic view points [ MR 2077033 ]

Sadayoshi Kojima and Shigeru Mizushima — The Dehn filling space of a certain hyperbolic 3orbifold [ MR 2077034 ]

Motoko Kotani — An asymptotic of the large deviation for random walks on a crystal lattice [ MR 2077035 ]

Ben M. Hambly and Takashi Kumagai — Heat kernel estimates and law of the iterated logarithm for symmetric random walks on fractal graphs [ MR 2077036 ]

Alexander Lubotzky and Yehuda Shalom — Finite representations in the unitary dual and Ramanujan groups [ MR 2077037 ]

Nicolas Monod — Stabilization for ${\rm SL}_n$ in bounded cohomology [ MR 2077038 ]

Hirofumi Nagoshi — Spectral theory of certain arithmetic graphs [ MR 2077039 ]

Amos Nevo — Radial geometric analysis on groups [ MR 2077040 ]

Hajime Urakawa — The heat kernel and the Green kernel of an infinite graph [ MR 2077041 ]