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Creators/Authors contains: "Gogolev, Andrey"

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  1. ; (, Geometric and Functional Analysis)
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  2. ; (, Proceedings of the American Mathematical Society)
    We introduce the matching functions technique in the setting of Anosov flows. Then we observe that simple periodic cycle functionals (also known as temporal distances) provide a source of matching functions for conjugate Anosov flows. For conservative codimension one Anosov flows φ<#comment/> t :<#comment/> M →<#comment/> M \varphi ^t\colon M\to M , dim ⁡<#comment/> M ≥<#comment/> 4 \dim M\ge 4 , these simple periodic cycle functionals are C 1 C^1 regular and, hence, can be used to improve regularity of the conjugacy. Specifically, we prove that a continuous conjugacy must, in fact, be a C 1 C^1 diffeomorphism for an open and dense set of codimension one conservative Anosov flows. 
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  3. ; (, Journal of the European Mathematical Society)
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  4. ; (, Mathematische Zeitschrift)
    null (Ed.)
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  5. ; (, Discrete & Continuous Dynamical Systems)
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  6. ; ; (, Israel Journal of Mathematics)
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  7. ; ; ; (, Proceedings of the London Mathematical Society)