4 papers
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…
Dimension of a class of intrinsically transversal solenoidal attractors in high dimensions
Ricardo Bortolotti, Eberson Ferreira da Silva
We study the fractal dimension of a class of solenoidal attractors in dimensions greater or equal than 3, proving that if the contraction is sufficiently strong, the expansion is c…
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…
Higher-dimensional attractors with absolutely continuous invariant probability
Carlos Bocker-Neto, Ricardo Bortolotti
Consider a dynamical system given by , where is a linear expandi…