3 papers
math.DS2008
Logarithm laws and shrinking target properties
Jayadev S. Athreya
We survey some of the recent developments in the study of logarithm laws and shrinking target properties for various families of dynamical systems. We discuss connections to geomet…
math.DS2007
Deviation of ergodic averages for rational polygonal billiards
Jayadev S. Athreya, Giovanni Forni
We prove polynomial upper bounds for the deviation of ergodic averages for the straight line flow on every translation surface in almost every direction, in particular for those su…
math.DS2005
Quantitative recurrence and large deviations for Teichmuller geodesic flow
Jayadev S. Athreya
We prove quantitative recurrence and large deviations results for the Teichmuller geodesci flow on a connected component of a stratum of the moduli space of holomorphic unit-…