Seminari di Sistemi Dinamici Olomorfi 2017-2018

seminar: Diffusive behaviour of ergodic sums over rotations

speaker: Stefano Isola (Università di Camerino)

abstract: For a circle rotation by an irrational angle $\alpha$ and a BV function $\varphi$, we study the variance of the ergodic sums $S_n=\sum{k=0}^{n-1}\varphi (x+k\alpha)$. In particular, if $\alpha$ is not of constant type, one can construct sub-sequences $(n_i)$ s.t. $S_ni$ satisfies an almost sure invariance principle. An application to the rectangular periodic billiard in the plane is discussed.

timetable:
Wed 31 Jan, 15:00 - 16:00, Sala Conferenze Centro De Giorgi
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