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math.DS2026
Local smooth rigidity of Anosov diffeomorphisms in
James Marshall Reber, Sebastián Pavez-Molina
Given a conjugacy between two Anosov diffeomorphisms, the matching periodic data problem asks whether this conjugacy is smooth provided spectral data of the diffeomorphisms m…
math.DS2024
Anosov magnetic flows on surfaces
James Marshall Reber, Yumin Shen
Using the quotient bundle introduced by Wojtkowski, we give necessary and sufficient conditions for a magnetic flow on a closed, oriented surface to be Anosov.