activity
20152024
most citedHigher-dimensional attractors with absolutely continuous invariant probability

2 citations · 3 across the 5 of their papers we have counts for

collaborators

5 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.DS2022

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…

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★ 2 cited

Higher-dimensional attractors with absolutely continuous invariant probability

Carlos Bocker-Neto, Ricardo Bortolotti

Consider a dynamical system given by , where is a linear expandi…

math.DS2015★ 1 cited

Physical Measures for Certain Partially Hyperbolic Attractors on 3-Manifolds

Ricardo T. Bortolotti

In this work, we study ergodic properties of certain partially hyperbolic attractors whose central direction has a neutral behavior, the main feature is a condition of transversali…