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math.DS2008
Renormalization for a Class of Dynamical Systems: some Local and Global Properties
Alexandre Baraviera, Renaud Leplaideur, Artur O. Lopes
We study the period doubling renormalization operator for dynamics which present two coupled laminar regimes with two weakly expanding fixed points. We focus our analysis on the po…
math.DS2008
Equilibrium States for Partially Hyperbolic Horseshoes
Renaud Leplaideur, Krerley Oliveira, Isabel Rios
In this paper, we study ergodic features of invariant measures for the partially hyperbolic horseshoe at the boundary of uniformly hyperbolic diffeomorphisms constructed in \cite{D…