2 papers
math.DS2018
Entropy formula and continuity of entropy for piecewise expanding maps
Jose F. Alves, Antonio Pumarino
We consider some classes of piecewise expanding maps in finite dimensional spaces having invariant probability measures which are absolutely continuous with respect to Lebesgue mea…
math.DS2017
Renormalization of two-dimensional piecewise linear maps: Abundance of 2-D strange attractors
Antonio Pumariño, José Ángel Rodríguez, Enrique Vigil
For a two parameter family of two-dimensional piecewise linear maps and for every natural number we prove not only the existence of intervals of parameters for which the resp…