4 citations · 7 across the 3 of their papers we have counts for
3 papers
math.DS2004★ 3 cited
Weak mixing for interval exchange transformations and translation flows
Artur Avila, Giovanni Forni
We show that a typical interval exchange transformation is either weakly mixing or it is an irrational rotation. We also conclude that a typical translation flow on a surface of ge…
math.DS2004
Deviation of ergodic averages for area-preserving flows on surfaces of higher genus
Giovanni Forni
We prove a substantial part of a conjecture of Kontsevich and Zorich on the Lyapunov exponents of the Teichmuller geodesic flow on the deviation of ergodic averages for generic con…
math.DS2003★ 4 cited
Asymptotic behaviour of ergodic integrals of `renormalizable' parabolic flows
Giovanni Forni
Ten years ago A. Zorich discovered, by computer experiments on interval exchange transformations, some striking new power laws for the ergodic integrals of generic non-exact Hamilt…