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 2008 · math.DSShow all

3 papers · 2 filters

math.DS2008

Diffeomorphisms Holder conjugate to Anosov diffeomorphisms

Andrey Gogolev

We show by means of a counterexample that a $C^{1 + L i p}$ diffeomorphism Holder conjugate to an Anosov diffeomorphism is not necessarily Anosov. The counterexample can bear higher sm…

math.DS2008★ 3 cited

Smooth conjugacy of Anosov diffeomorphisms on higher dimensional tori

Andrey Gogolev

Let $L$ be a hyperbolic automorphism of $T^{d}$ , $d \geq 3$ . We study the smooth conjugacy problem in a small $C^{1}$ -neighborhood $U$ of $L$ . The main result establishes…

math.DS2008

Differentiable Conjugacy of Anosov Diffeomorphisms on Three Dimensional Torus

Andrey Gogolev, Misha Guysinsky

We consider two C^2 Anosov diffeomorphisms in a C^1 neighborhood of a linear hyperbolic automorphism of three dimensional torus with real spectrum. We prove that they are C^1+ conj…