Asymptotic Problems in Probability Theory: Stochastic Models and Diffusions on Fractals.

Abstract

Limits for stochastic models: stochastic and quantum mechanical scattering on hyperbolic spaces, E.A. Carlen and K.D. Elsworthy intermittency and phase transitions from some particle systems in random media, R. Carmona and S.A. Molchanov predator-prey systems, R. Durrett homogenization of reflecting barrier Brownian motions, H. Osada nonlinear diffusion limit for a system with nearest neighbour interactions-II, S.R.S. Varadhan. Part 2 Analysis on fractals: random walks, electrical resistance, and nested fractals, M.R. Barlow Hausdorff dimension of nonlinear Cantor sets, K. Handa self-avoiding process on the Sierpinski gasket, K. Hatton harmonic metric and Dirichlet form on the Sierpinski gasket, J. Kigami construction and some properties of a class of non-symmetric diffusion processes on the Sierpinski gasket, T. Kumagai Brownian motion penetrating the Sierpinski gasket, T. Lindstrom the eigenvalue problem for the Laplacian on the Sierpinski gasket, T. Shima.