Abstract
We prove several results for dynamics of SL(d, R)-actions on non-compact parameter spaces by studying associated discrete sets in Euclidean spaces. This allows us to give elementary proofs of logarithm laws for horocycle flows on hyperbolic surfaces and moduli spaces of flat surfaces. We also give applications to quantitative equidistribution and Diophantine approximation.
Original language | English (US) |
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Pages (from-to) | 741-765 |
Number of pages | 25 |
Journal | Journal of the London Mathematical Society |
Volume | 87 |
Issue number | 3 |
DOIs | |
State | Published - Jun 2013 |
ASJC Scopus subject areas
- General Mathematics