## 29 Citations

### Analytic models of pseudo-Anosov maps

- MathematicsErgodic Theory and Dynamical Systems
- 1986

Abstract We give a new proof of the existence of analytic models of pseudo-Anosov maps. The persistence properties of Thurston's maps ensure that any Co-perturbation of them presents all their…

### Entropy-Expansiveness and Domination for Surface Diffeomorphisms Maŕıa

- Mathematics
- 2014

Let f : M → M be a C-diffeomorphism, r ≥ 1, defined on a closed manifold M . We prove that if M is a surface and K ⊂ M is a compact invariant set such that TKM = E ⊕ F is a dominated splitting then…

### ON THE WORK OF JORGE LEWOWICZ ON EXPANSIVE SYSTEMS

- Mathematics
- 2012

We will try to give an overview of one of the landmark results of Jorge Lewowicz: his classification of expansive homeomorphisms of surfaces. The goal will be to present the main ideas with the hope…

### Entropy-Expansiveness and Domination for Surface Diffeomorphisms

- Mathematics
- 2008

Let f : M → M be a C-diffeomorphism, r ≥ 1, defined on a closed manifold M . We prove that if M is a surface and K ⊂M is a compact invariant set such that TKM = E ⊕ F is a dominated splitting then…

### Coexistence of chaotic and elliptic behaviors among analytic, symplectic diffeomorphisms of any surface

- MathematicsJournal de l’École polytechnique — Mathématiques
- 2023

We show the coexistence of chaotic behaviors (positive metric entropy) and elliptic behaviors (intregrable KAM island) among analytic, symplectic diffeomorphism of any closed surface. In particilar…

### Newhouse phenomena in the Fibonacci trace map

- Mathematics
- 2015

We study dynamical properties of the Fibonacci trace map - a polynomial map that is related to numerous problems in geometry, algebra, analysis, mathematical physics, and number theory. Persistent…

### Analytic uniquely ergodic volume preserving maps on odd spheres

- Mathematics
- 2013

We construct examples of volume-preserving uniquely ergodic (and hence minimal) real-analytic diffeomorphisms on odd-dimemsional spheres

### Lyapunov Functions and Cone Families

- MathematicsJournal of Statistical Physics
- 2012

We describe systematically the relation between Lyapunov functions and nonvanishing Lyapunov exponents, both for maps and flows. This includes a brief survey of the existing results in the area. In…

### Lyapunov Functions and Cone Families

- Mathematics
- 2012

We describe systematically the relation between Lyapunov functions and nonvanishing Lyapunov exponents, both for maps and flows. This includes a brief survey of the existing results in the area. In…

### On Stochastic Sea of the Standard Map

- Mathematics
- 2012

AbstractConsider a generic one-parameter unfolding of a homoclinic tangency of an area preserving surface diffeomorphism. We show that for many parameters (residual subset in an open set approaching…