Title: From Classical to Modern Probability
Description: This volume is based on the lecture notes of six courses delivered at a CIMPA Summer School in Temuco, Chile, in January 2001. The courses are: asymptotic of the heat kernel in unbounded domains; spin systems with long range interactions; non-linear Dirichlet problem and non-linear integration; first-passage percolation; central limit theorem for Markov processes; stochastic orders and stopping times in Brownian motion. The level of each course is that of a graduate course, but the material will also be of interest for the specialist.
Subjects: Mathematics, Distribution (Probability theory), Mathematical physics, Differentiable dynamical systems, Dynamical Systems and Ergodic Theory, Probability Theory and Stochastic Processes, Mathematical Methods in Physics