6 citations · 15 across the 7 of their papers we have counts for
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math.DS2016★ 1 cited
On mixing and sparse ergodic theorems
Asaf Katz
We consider Bourgain's ergodic theorem regarding arithmetic averages in the cases where quantitative mixing is present in the dynamical system. Focusing on the case of the horocycl…
math.DS2016★ 4 cited
Generalizations of Furstenberg's Diophantine result
Asaf Katz
We prove two generalizations of Furstenberg's Diophantine result regarding density of an orbit of an irrational point in the one-torus under the action of multiplication by a non-l…