Carlos Bocker

activity

20172024

collaborators

3 papers

math.DS2024

Regularity, linear response formula and differentiability of the free energy for non-uniformly expanding local homeomorphisms

Carlos Bocker, Ricardo Bortolotti, Armando Castro +1

We study equilibrium states for an open class of non-uniformly expanding local homeomorphisms defined by a mild condition such that for some iterate each point admits at least one…

math.DS2019

Regularity of the Density of SRB Measures for Solenoidal Attractors

Carlos Bocker, Ricardo Bortolotti

We show that a class of higher-dimensional hyperbolic endomorphisms admit absolutely continuous invariant probabilities whose density are regular. The maps we consider are given by…

math.DS2017

Higher-dimensional attractors with absolutely continuous invariant probability

Carlos Bocker-Neto, Ricardo Bortolotti

Consider a dynamical system $T : T \times R^{d} \to T \times R^{d}$ given by $T (x, y) = (E (x), C (y) + f (x))$ , where $E$ is a linear expandi…