Nonzero Lyapunov exponents and uniform hyperbolicity
By Yongluo Cao. 2003
90 citations recorded by the source corpus.
Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/e81fb4007d8fcb788d9d68497fbb6761a0cff741
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
- Jairo Bochi
- Stefano Luzzatto
- Marcelo Viana
- Artur Avila
- C. Bonatti
- Yakov Pesin
- Dmitry Dolgopyat
- Carlos Bocker-Neto
In Mathematical Physics
- Jairo Bochi
- Stefano Luzzatto
- Yongluo Cao
- Artur Avila
- Marcelo Viana
- C. Bonatti
- Yakov Pesin
- S. Crovisier
In Statistical and Nonlinear Physics
- Jairo Bochi
- Stefano Luzzatto
- Yongluo Cao
- Artur Avila
- Marcelo Viana
- C. Bonatti
- Yakov Pesin
- S. Crovisier
Citations in the corpus
- ERGODIC OPTIMIZATION OF BIRKHOFF AVERAGES AND LYAPUNOV EXPONENTS (2017, background): “From these general results one can derive immediately those of [18, 28], for example.”
- Some non-hyperbolic systems with strictly non-zero Lyapunov exponents for all invariant measures: Horseshoes with internal tangencies (2003, background): “A stronger requirement is that all invariant measures µ are hyperbolic and of course an even stronger requirement is that they are all “uniformly” hyperbolic in the sense that all Lyapunov exponents are uniformly bounded away from 0.”