4 papers
math.DS2011
Entropy production and folding of the phase space in chaotic dynamics
Eugen Mihailescu
We study the entropy production of Gibbs (equilibrium) measures for chaotic dynamical systems with folding of the phase space. The dynamical chaotic model is that generated by a hy…
math.DS2011
Isomorphism classes for certain expanding maps and their group extensions
Eugen Mihailescu
We show that expanding toral endomorphisms, together with their respective Lebesgue measure are isomorphic to 1-sided Bernoulli shifts. This result is then extended to smooth pertu…
math.DS2009
Invariant measures involving local inverse iterates
Eugen Mihailescu
We study some new invariant measures arising from local inverse iterates. Examples are also given.
math.DS2008
Inverse pressure estimates and the independence of stable dimension for non-invertible maps
Eugen Mihailescu, Mariusz Urbanski
We use the inverse pressure concept to estimate the stable dimension for hyperbolic non-invertible maps which are conformal in the stable fibers. The non-invertible case is differe…