24 citations · 107 across the 30 of their papers we have counts for
Showing 2014 · math.DSShow all
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math.DS2014
Bootstrap for local rigidity of Anosov automorphisms on the 3-torus
Andrey Gogolev
We establish a strong form of local rigidity for hyperbolic automorphisms of the 3-torus with real spectrum. Namely, let be a hyperbolic automorp…
math.DS2014
New partially hyperbolic dynamical systems I
Andrey Gogolev, Pedro Ontaneda, Federico Rodriguez Hertz
We propose a new method for constructing partially hyperbolic diffeomorphisms on closed manifolds. As a demonstration of the method we show that there are simply connected closed m…
math.DS2014
On bundles that admit fiberwise hyperbolic dynamics
F. Thomas Farrell, Andrey Gogolev
This paper is devoted to rigidity of smooth bundles which are equipped with fiberwise geometric or dynamical structure. We show that the fiberwise associated sphere bundle to a bun…