scholarly journals Uniform hyperbolicity of the graphs of nonseparating curves via bicorn curves

2020 ◽  
Vol 148 (6) ◽  
pp. 2345-2357 ◽  
Author(s):  
Alexander J. Rasmussen
Keyword(s):  
Uniform Hyperbolicity

scholarly journals Kupka–Smale diffeomorphisms at the boundary of uniform hyperbolicity: a model

Nonlinearity ◽  
2017 ◽  
Vol 30 (10) ◽  
pp. 3895-3931
Author(s):  
Renaud Leplaideur ◽  
Isabel Lugão Rios
Keyword(s):  
Uniform Hyperbolicity

scholarly journals Equilibrium measures for the Hénon map at the first bifurcation: uniqueness and geometric/statistical properties

2014 ◽  
Vol 36 (1) ◽  
pp. 215-255 ◽  
Author(s):  
SAMUEL SENTI ◽  
HIROKI TAKAHASI
Keyword(s):  
Existence And Uniqueness ◽  
Thermodynamic Formalism ◽  
Invariant Probability Measure ◽  
Statistical Properties ◽  
Limit Set ◽  
Bifurcation Parameter ◽  
Large Interval ◽  
Equilibrium Measures ◽  
Uniform Hyperbolicity ◽  
Unstable Direction

For strongly dissipative Hénon maps at the first bifurcation parameter where the uniform hyperbolicity is destroyed by the formation of tangencies inside the limit set, we establish a thermodynamic formalism, i.e. we prove the existence and uniqueness of an invariant probability measure that minimizes the free energy associated with a non-continuous geometric potential$-t\log J^{u}$, where$t\in \mathbb{R}$is in a certain large interval and$J^{u}$denotes the Jacobian in the unstable direction. We obtain geometric and statistical properties of these measures.

scholarly journals Pointwise hyperbolicity implies uniform hyperbolicity

2014 ◽  
Vol 34 (7) ◽  
pp. 2819-2827 ◽  
Author(s):  
Boris Hasselblatt ◽  
◽  
Yakov Pesin ◽  
Jörg Schmeling ◽  
◽  
...  
Keyword(s):  
Uniform Hyperbolicity

scholarly journals Uniform hyperbolicity for curve graphs of non-orientable surfaces

2016 ◽  
Vol 46 (3) ◽  
pp. 343-355
Author(s):  
Erika Kuno
Keyword(s):  
Uniform Hyperbolicity ◽  
Orientable Surfaces

Uniform Hyperbolicity on Random Sets

Sankhya A ◽  
2018 ◽  
Vol 81 (2) ◽  
pp. 387-398
Author(s):  
Abbas Ali Rashid ◽  
Alireza Zamani Bahabadi
Keyword(s):  
Random Sets ◽  
Uniform Hyperbolicity

scholarly journals The gluing orbit property, uniform hyperbolicity and large deviations principles for semiflows

2019 ◽  
Vol 267 (1) ◽  
pp. 228-266 ◽  
Author(s):  
Thiago Bomfim ◽  
Paulo Varandas
Keyword(s):  
Large Deviations ◽  
Uniform Hyperbolicity

scholarly journals On the uniform hyperbolicity of some nonuniformly hyperbolic systems

2002 ◽  
Vol 131 (4) ◽  
pp. 1303-1309 ◽  
Author(s):  
José F. Alves ◽  
Vítor Araújo ◽  
Benoît Saussol
Keyword(s):  
Hyperbolic Systems ◽  
Uniform Hyperbolicity ◽  
Nonuniformly Hyperbolic

scholarly journals Uniform hyperbolicity of invariant cylinder

2017 ◽  
Vol 106 (1) ◽  
pp. 1-43 ◽  
Author(s):  
Chong-Qing Cheng
Keyword(s):  
Uniform Hyperbolicity

Equivalence of uniform hyperbolicity for symplectic twist maps and phonon gap for Frenkel-Kontorova models

1992 ◽  
Vol 56 (2-3) ◽  
pp. 123-134 ◽  
Author(s):  
S. Aubry ◽  
R.S. MacKay ◽  
C. Baesens
Keyword(s):  
Twist Maps ◽  
Uniform Hyperbolicity

Equivalence and topological invariance of conditions for non-uniform hyperbolicity in the iteration of rational maps

2003 ◽  
Vol 151 (1) ◽  
pp. 29-63 ◽  
Author(s):  
Feliks Przytycki ◽  
Juan Rivera-Letelier ◽  
Stanislav Smirnov
Keyword(s):  
Rational Maps ◽  
Topological Invariance ◽  
Uniform Hyperbolicity
Sign in / Sign up

Export Citation Format

Share Document