Decay of correlations for Lorentz gases and Lorenz attractors
October 8, 3pm; 104 SEC
Colloquium
Abstract
The planar periodic Lorentz gas model was introduced in 1905 as a
deterministic model for Brownian motion. (This was made precise by M. Nicol
and the speaker in 2007.) Nowadays, Lorentz gases retain their interest for
mathematical physics, but also provide an important class of examples in
smooth ergodic theory, where the aim is to understand dynamical systems
from a probabilistic viewpoint.
Decay of correlations measures the rate of mixing, or loss of memory, in a
deterministic system. Mixing for flows (continuous-time dynamical systems)
is an important and much studied, but still poorly understood, problem.
This talk will focus on recent progress for a class of (nonuniformly
hyperbolic) dynamical systems which includes many of the classical examples
such as Henon and Lorenz attractors as well as Lorentz gases.
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Last modified: April 08 2016 - 20:30:35