14 citations · 22 across the 3 of their papers we have counts for
4 papers
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…
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…
Local Limit Theorems for Poisson's Binomial in the Case of Infinite Expectation
Italo Simonelli, Lucia D. Simonelli
Let where are Bernoulli random variables which take the value with probability . Let $λ_{n} = \sum\limits_{i=1…
Absolutely Continuous Spectrum for Parabolic Flows/Maps
Lucia D. Simonelli
We provide an abstract framework for the study of certain spectral properties of parabolic systems; specifically, we determine under which general conditions to expect the presence…