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math.DS2025
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…
math.DS2024
Finite Periodic Data Rigidity For Two-Dimensional Area-Preserving Anosov Diffeomorphisms
Thomas Aloysius O'Hare
Let be area-preserving Anosov diffeomorphisms on which are topologically conjugate by a homeomorphism (). We assume that the Jacobian periodic…