Includes bibliographical references.

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 ; Noncommutative 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 3orbifold ; 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 rm 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 Noel Lohoue and Georgios Alexopoulos ; Yusuke Higuchi and Tomoyuki Shirai ; Satoshi Ishiwata ; Masaki Izumi ; Vadim A Kaimanovich ; Tsuyoshi Kato ; Sadayoshi Kojima and Shigeru Mizushima ; Motoko Kotani ; Ben M Hambly and Takashi Kumagai ; Alexander Lubotzky and Yehuda Shalom ; Nicolas Monod ; Hirofumi Nagoshi ; Amos Nevo ; Hajime Urakawa