1 citations · 1 across the 5 of their papers we have counts for
7 papers
A finite Livshits theorem and local length spectrum rigidity
Jonathan DeWitt, Spencer Durham, James Marshall Reber +1
We show that for closed negatively curved Riemannian manifolds whose length spectrum is exponentially separated, the length spectrum is a local isometry invariant. In particular, t…
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…
Finiteness of Totally Magnetic Hypersurfaces
James Marshall Reber, Ivo Terek
By introducing a dynamical version of the second fundamental form, we generalize a recent result of Filip-Fisher-Lowe to the setting of magnetic systems. Namely, we show that a rea…
Marked length spectrum rigidity for Anosov magnetic surfaces
Valerio Assenza, Jacopo de Simoi, James Marshall Reber +1
We show that if is a closed, connected, oriented surface, and two Anosov magnetic systems on are conjugate by a volume-preserving conjugacy isotopic to the identity, with t…
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.
A counterexample to marked length spectrum semi-rigidity
Andrey Gogolev, James Marshall Reber
Given a closed orientable negatively curved Riemannian surface , we show how to construct a perturbation such that each closed geodesic becomes longer, and ye…
A positive proportion Livshits theorem
Caleb Dilsavor, James Marshall Reber
Given a transitive Anosov diffeomorphism or flow on a closed connected Riemannian manifold , the Livshits theorem states that a Hölder function is a coboun…