Buch, Englisch, Band 347, 258 Seiten, Gewicht: 492 g
Reihe: Contemporary Mathematics S.
Buch, Englisch, Band 347, 258 Seiten, Gewicht: 492 g
Reihe: Contemporary Mathematics S.
ISBN: 978-0-8218-3351-3
Verlag: American Mathematical Society
Papers from a December 2002 symposium describe problems of geometric analysis in relation to heat kernels, random walks, and Poisson boundaries on discrete groups, graphs, and other combinatorial objects. Some specific topics examined include spectral and geometric properties for infinite graphs, non-commutative Poisson boundaries, and boundary ame
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.
On the asymptotic behavior of convolution powers and heat kernels on Lie groups; Some spectral and geometric properties for infinite graphs; Asymptotic behavior of a transition probability for a random walk on a nilpotent covering graph; Non-commutative Poisson boundaries; Boundary amenability of hyperbolic spaces; Spectral analysis on tree like spaces from gauge theoretic view points; The Dehn filling space of a certain hyperbolic 3-orbifold; An asymptotic of the large deviation for random walks on a crystal lattice; Heat kernel estimates and law of the iterated logarithm for symmetric random walks on fractal graphs; Finite representations in the unitary dual and Ramanujan groups; Stabilization for SL$ n$ in bounded cohomology; Spectral theory of certain arithmetic graphs; Radial geometric analysis on groups; The heat kernel and the Green kernel of an infinite graph
