7 citations · 13 across the 3 of their papers we have counts for
4 papers
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…
Thermodynamic formalism for some systems with countable Markov structures
Michael Jakobson
We study ergodic properties of certain piecewise smooth two-dimensional systems by constructing countable Markov partitions. Using thermodynamic formalism we prove exponential deca…
Asymptotic measures for hyperbolic piecewise smooth mappings of a rectangle
Michael Jakobson, Sheldon Newhouse
We prove the existence of Sinai-Ruelle-Bowen measures for a class of self-mappings of a rectangle with unbounded derivatives. The results can be regarded as a generalization…
Quasisymmetric conjugacies between unimodal maps
Michael Jakobson, Grzegorz Swiatek
It is shown that some topological equivalency classes of S-unimodal maps are equal to quasisymmetric conjugacy classes. This includes some infinitely renormalizable polynomials of…