A. Gogolev

activity

20082026

most citedAnomalous partially hyperbolic diffeomorphisms III: abundance and incoherence

24 citations · 107 across the 30 of their papers we have counts for

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Showing 2022 · math.DSShow all

3 papers · 2 filters

math.DS2022★ 4 cited

Smooth rigidity for 3-dimensional volume preserving Anosov flows and weighted marked length spectrum rigidity

Andrey Gogolev, Federico Rodriguez Hertz

Let $X_{1}^{t}$ and $X_{2}^{t}$ be volume preserving Anosov flows on a 3-dimensional manifold $M$ . We prove that if $X_{1}^{t}$ and $X_{2}^{t}$ are $C^{0}$ conjugate then the conjugacy is, in fact,…

math.DS2022

Joint integrability and spectral rigidity for Anosov diffeomorphisms

Andrey Gogolev, Yi Shi

Let $f : T^{d} \to T^{d}$ be an Anosov diffeomorphism whose linearization $A \in GL (d, Z)$ is irreducible. Assume that $f$ is also absolutely partially h…

math.DS2022

Smooth rigidity for higher dimensional contact Anosov flows

Andrey Gogolev, Federico Rodriguez Hertz

We apply the matching functions technique in the setting of contact Anosov flows which satisfy a bunching assumption. This allows us to generalize the 3-dimensional rigidity result…