60 citations · 170 across the 20 of their papers we have counts for
Showing 2009Show all
2 papers · 1 filter
math.DS2009★ 7 cited
Exponential Mixing for the Teichmuller flow in the Space of Quadratic Differentials
Artur Avila, Maria Joao Resende
We consider the Teichmuller flow on the unit cotangent bundle of the moduli space of compact Riemann surfaces with punctures. We show that it is exponentially mixing for the Ratner…
math.DS2009★ 36 cited
Global theory of one-frequency Schrodinger operators I: stratified analyticity of the Lyapunov exponent and the boundary of nonuniform hyperbolicity
Artur Avila
We study Schrodinger operators with a one-frequency analytic potential, focusing on the transition between the two distinct local regimes characteristic respectively of large and s…