24 citations · 107 across the 30 of their papers we have counts for
4 papers · 2 filters
Surgery for partially hyperbolic dynamical systems II. Blow-up of a complex curve
Andrey Gogolev, Federico Rodriguez Hertz
In this paper we use the blow-up surgery introduced in [G] to produce new higher dimensional partially hyperbolic flows. The main contribution of the paper is the slow-down constru…
Centralizers of partially hyperbolic diffeomorphisms in dimension 3
Thomas Barthelmé, Andrey Gogolev
In this note we describe centralizers of volume preserving partially hyperbolic diffeomorphisms which are homotopic to identity on Seifert fibered and hyperbolic 3-manifolds. Our p…
Smooth rigidity for very non-algebraic expanding maps
Andrey Gogolev, Federico Rodriguez Hertz
We show that the space of expanding maps contains an open and dense set where smooth conjugacy classes of expanding maps are determined by the values of the Jacobians of return map…
Center foliation rigidity for partially hyperbolic toral diffeomorphisms
Andrey Gogolev, Boris Kalinin, Victoria Sadovskaya
We study perturbations of a partially hyperbolic toral automorphism L which is diagonalizable over C and has a dense center foliation. For a small perturbation of L with a smooth c…