Title: Local vs. central limits of a chaotic walk in a frozen environment Speaker: Lasse Leskelä Aalto University Time: Mon 27 Sep 2010 16:15-17:00 Place: Room U3322 TKK Main Building (Otakaari 1 M, Espoo) (The talk is based on joint work with Mikko Stenlund, Courant Institute.) Abstact: We study particle propagation in a one-dimensional inhomogeneous medium where the dynamics are generated by chaotic and deterministic local maps. For a uniformly distributed random initial location, the particle's trajectory corresponds to a unidirectional random walk in an inhomogeneous environment. We show that the random walk's probability mass function does not converge to a Gaussian density, although the limiting distribution over a coarser diffusive space scale is Gaussian. This result appears to be the first local limit theorem concerning random walks in aperiodic nonrandom or quenched random environments, and among the first of its kind for extended dynamical systems.