42 citations · 201 across the 49 of their papers we have counts for
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math.DS2021
Smooth rigidity for codimension one Anosov flows
Andrey Gogolev, Federico Rodriguez Hertz
We introduce the matching functions technique in the setting of Anosov flows. Then we observe that simple periodic cycle functionals (also known as temporal distance functions) pro…
math.DS2021
Logarithmic Fourier decay for self conformal measures
Amir Algom, Federico Rodriguez Hertz, Zhiren Wang
We prove that the Fourier transform of a self conformal measure on decays to at infinity at a logarithmic rate, unless the following holds: The underlying IFS is s…
math.DS2021★ 3 cited
Smooth rigidity for very non-algebraic Anosov diffeomorphisms of codimension one
Andrey Gogolev, Federico Rodriguez Hertz
In this paper we introduce a new methodology for smooth rigidity of Anosov diffeomorphisms based on "matching functions." The main observation is that under certain bunching assump…