102 citations · 347 across the 37 of their papers we have counts for
41 papers
From zero to positive entropy
Sylvain Crovisier, Enrique Pujals
In the sciences in general, the phrase "route to chaos" has come to refer to a metaphor when some physical, biological, economic, or social system transitions from one exhibiting o…
Robust transitivity and domination for endomorphisms displaying critical points
C. Lizana, R. Potrie, E. R. Pujals +1
We show that robustly transitive endomorphisms of a closed manifolds must have a non-trivial dominated splitting or be a local diffeomorphism. This allows to get some topological o…
Germ-typicality of the coexistence of infinitely many sinks
Pierre Berger, Sylvain Crovisier, Enrique Pujals
In the spirit of Kolmogorov typicality, we introduce the notion of germ-typicality: in a space of dynamics, it encompass all these phenomena that occur for a dense and open subset…
Mildly dissipative diffeomorphisms of the disk with zero entropy
Sylvain Crovisier, Enrique Pujals, Charles Tresser
We discuss the dynamics of smooth diffeomorphisms of the disc with vanishing topological entropy which satisfy the mild dissipation property introduced in [CP]. In particular it co…
Orders of Growth and Generalized Entropy
Javier Correa, Enrique R. Pujals
We construct the complete set of orders of growth and we define on it the generalized entropy of a dynamical systems. With this object we provide a framework where we can study the…
Invariance of entropy for maps isotopic to Anosov
Pablo D. Carrasco, Cristina Lizana, Enrique Pujals +1
We prove the topological entropy remains constant inside the class of partially hyperbolic diffeomorphisms of with simple central bundle (that is, when it decomposes…