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math.DS2019
Parabolic Flows Renormalized by Partially Hyperbolic Maps
Oliver Butterley, Lucia D. Simonelli
We consider parabolic flows on 3-dimensional manifolds which are renormalized by circle extensions of Anosov diffeormorphisms. This class of flows includes nilflows on the Heisenbe…
math.DS2018
Countable Markov Partitions Suitable for Thermodynamic Formalism
Michael Jakobson, Lucia D. Simonelli
We study hyperbolic attractors of some dynamical systems with apriori given countable Markov partitions. Assuming that contraction is stronger than expansion we construct new Marko…