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math.DS2019
Ergodicity and partial hyperbolicity on Seifert manifolds
Andy Hammerlindl, Jana Rodriguez Hertz, Raul Ures
We show that conservative partially hyperbolic diffeomorphism isotopic to the identity on Seifert 3-manifolds are ergodic.
math.DS2019
Global manifold structure of a continuous-time heterodimensional cycle
Andy Hammerlindl, Bernd Krauskopf, Gemma Mason +1
A heterodimensional cycle consists of a pair of heteroclinic connections between two saddle periodic orbits with unstable manifolds of different dimensions. Recent theoretical work…