Some Reminders about the Theory of Surface Diffeomorphisms

2021 ◽  
pp. 14-24
Author(s):  
Valentin Poénaru
Keyword(s):  
Surface Diffeomorphisms

scholarly journals The set of points with Markovian symbolic dynamics for non-uniformly hyperbolic diffeomorphisms

2020 ◽  
pp. 1-26
Author(s):  
SNIR BEN OVADIA
Keyword(s):  
Symbolic Dynamics ◽  
Full Measure ◽  
Probability Measures ◽  
Positive Entropy ◽  
Surface Diffeomorphisms ◽  
Srb Measures ◽  
Hyperbolic Diffeomorphisms ◽  
Set Of Points ◽  
Math Phys ◽  
Homoclinic Classes

Abstract The papers [O. M. Sarig. Symbolic dynamics for surface diffeomorphisms with positive entropy. J. Amer. Math. Soc.26(2) (2013), 341–426] and [S. Ben Ovadia. Symbolic dynamics for non-uniformly hyperbolic diffeomorphisms of compact smooth manifolds. J. Mod. Dyn.13 (2018), 43–113] constructed symbolic dynamics for the restriction of $C^r$ diffeomorphisms to a set $M'$ with full measure for all sufficiently hyperbolic ergodic invariant probability measures, but the set $M'$ was not identified there. We improve the construction in a way that enables $M'$ to be identified explicitly. One application is the coding of infinite conservative measures on the homoclinic classes of Rodriguez-Hertz et al. [Uniqueness of SRB measures for transitive diffeomorphisms on surfaces. Comm. Math. Phys.306(1) (2011), 35–49].

scholarly journals Critical points for surface diffeomorphisms

2007 ◽  
Vol 1 (4) ◽  
pp. 615-648 ◽  
Author(s):  
Enrique R. Pujals ◽  
◽  
Federico Rodriguez Hertz ◽  
Keyword(s):  
Critical Points ◽  
Surface Diffeomorphisms

Horseshoe and entropy for C1 surface diffeomorphisms

Nonlinearity ◽  
2002 ◽  
Vol 15 (3) ◽  
pp. 841-848 ◽  
Author(s):  
Shaobo Gan
Keyword(s):  
Surface Diffeomorphisms

scholarly journals Strongly dissipative surface diffeomorphisms

2018 ◽  
Vol 93 (2) ◽  
pp. 377-400 ◽  
Author(s):  
Sylvain Crovisier ◽  
Enrique Pujals
Keyword(s):  
Surface Diffeomorphisms

scholarly journals Surface diffeomorphisms via train-tracks

1996 ◽  
Vol 73 (2) ◽  
pp. 141-167 ◽  
Author(s):  
Hessam Hamidi-Tehrani ◽  
Chen Zong-He
Keyword(s):  
Surface Diffeomorphisms ◽  
Train Tracks

surface diffeomorphisms with no maximal entropy measure

2013 ◽  
Vol 34 (6) ◽  
pp. 1770-1793 ◽  
Author(s):  
JÉRÔME BUZZI
Keyword(s):  
Maximal Entropy ◽  
Entropy Measure ◽  
Surface Diffeomorphisms ◽  
Measure Of Maximal Entropy

AbstractFor any $1\leq r\lt \infty $, we build on the disk, and therefore on any manifold, a ${C}^{r} $-diffeomorphism with no measure of maximal entropy.

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