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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…
math.DS2014
Statistical stability for multidimensional piecewise expanding maps
Jose F. Alves, Antonio Pumarino, Enrique Vigil
We present sufficient conditions for the (strong) statistical stability of some classes of multidimensional piecewise expanding maps. As a consequence we get that a certain natural…