6 citations · 14 across the 6 of their papers we have counts for
7 papers
Effective Equidistribution for Contact Anosov flows in Dimension Three
Asaf Katz, Thomas Aloysius O'Hare
We prove effective equidistribution theorems for (weighted) packets of closed periodic orbits for Anosov flows. In particular, for the case of contact Anosov flows on three-dimensi…
Margulis' Inequality for translates of horospherical orbits and applications to equidistribution
Asaf Katz
In this paper we develope a quantitative non-divergence theorem for translates of horospherical orbits, using the technique of Margulis' inequality as developed by Eskin-Margulis-M…
Quantitative disjointness of nilflows from horospherical flows
Asaf Katz
We prove a quantitative variant of a disjointness theorem of nilflows from horospherical flows following a technique of Venkatesh, combined with the structural theorems for nilflow…
Measure rigidity of Anosov flows via the factorization method
Asaf Katz
Using the factorization method, a method pioneered by Eskin and Mirzakhani in their groundbreaking work about measure classification over the moduli space of translation surfaces,…
Applications of joinings to sparse equidistribution problems
Asaf Katz
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 resul…
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…