5 citations · 19 across the 9 of their papers we have counts for
Showing math.DSShow all
3 papers · 1 filter
math.DS2003★ 1 cited
Bounded geodesics in moduli space
Dmitry Kleinbock, Barak Weiss
In the moduli space of quadratic differentials over complex structures on a surface, we construct a set of full Hausdorff dimension of points with bounded Teichmüller geodesic traj…
math.DS2002
Some applications of homogeneous dynamics to number theory
Dmitry Kleinbock
This survey paper is not a complete reference guide to number-theoretical applications of ergodic theory. Instead, it considers an approach to a class of problems involving Diophan…
math.DS1999
Dynamical Borel-Cantelli lemmas for Gibbs measures
Nikolai Chernov, Dmitry Kleinbock
Let be a deterministic dynamical system preserving a probability measure . A dynamical Borel-Cantelli lemma asserts that for certain sequences of subsets $A_n\su…