Conditional Stability and Real Analytic Pseudo-Anosov Maps

@inproceedings{Gerber1985ConditionalSA,
  title={Conditional Stability and Real Analytic Pseudo-Anosov Maps},
  author={Marlies Gerber},
  year={1985}
}
View via Publisher
29 Citations
Highly Influential Citations
4
Background Citations
9
Methods Citations
3

29 Citations

Analytic models of pseudo-Anosov maps

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

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

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

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

  • P. Berger
  • Mathematics
    Journal 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

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

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

Lyapunov Functions and Cone Families

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

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

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…