T. O'Hare

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20232025

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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 $f, g$ be $C^{2}$ area-preserving Anosov diffeomorphisms on $T^{2}$ which are topologically conjugate by a homeomorphism $h$ ( $h f = g h$ ). We assume that the Jacobian periodic…

math.DS2023

Finite Data Rigidity for One-Dimensional Expanding Maps

Thomas O'Hare

Let $f, g$ be $C^{2}$ expanding maps on the circle which are topologically conjugate. We assume that the derivatives of $f$ and $g$ at corresponding periodic points coincide for some…