Applications of joinings to sparse equidistribution problems

Abstract

We show how classification of joinings of two dynamical systems can be used in some sparse equidistribution problems in homogeneous dynamics, and by using recent quantitative results about equidistribution theorems, one can deduce some quantitative estimates for such problems.

arXiv commentUpdated version with expanded non-divergence arguments

References in corpus (2)

• Diophantine properties of nilpotent Lie groups
• Effective equidistribution of translates of large submanifolds in semisimple homogeneous spaces

Cited by in corpus (1)

• Quantitative disjointness of nilflows from horospherical flows