13 citations · 15 across the 6 of their papers we have counts for
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math.DS2021★ 1 cited
On the Space of Ergodic Measures for the Horocycle Flow on Strata of Abelian Differentials
Jon Chaika, Osama Khalil, John Smillie
We study the horocycle flow on the stratum of translation surfaces . We show that there is a sequence of horocycle ergodic measures, each supported on a periodic ho…
math.DS2021★ 1 cited
Random Walks, Spectral Gaps, and Khintchine's Theorem on Fractals
Osama Khalil, Manuel Luethi
This work addresses problems on simultaneous Diophantine approximation on fractals, motivated by a long standing problem of Mahler regarding Cantor's middle set. We obtain th…