Title: Diffusion properties of some deterministic dynamical systems
Abstract:
We will first introduce the concept of deterministic diffusion by means
of standard examples. Roughly speaking, these examples are
provided by deterministic dynamical systems that behave
like random systems. Then we will focus on the case where the underlying
dynamics is an irrational rotation of the circle. Because this map has
poor ergodic properties, it is known that no diffusion can be generated.
However, we will see that we should observe diffusion by looking at the
system at some particular times only.