Title:
Quenched Central Limit Theorem for the Random Toral Automorphism.
Abstract:
Toral automorphisms are the simplest examples of Anosov maps.
I will consider the dynamics generated on the torus by picking at each
step an automorphism from a finite set according to a Bernoulli
distribution.
After an introduction I will discuss how an averaged Central Limit
Theorem (CLT) can be derived using the Transfer operator formalism, and
how a quenched (or pathwise) CLT with constant variance can be extracted
with the aid of a Large Deviation estimate.
Joint work with Arvind Ayyer (Rutgers) and Carlangelo Liverani (Roma
II).