Continuity of Lyapunov exponents for cocycles with invariant holonomies
| Autor: | Clark Butler, Aaron W. Brown, Lucas Backes |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
Mathematics::Dynamical Systems Algebra and Number Theory Conjecture Mathematics::Operator Algebras Applied Mathematics 010102 general mathematics Dynamical Systems (math.DS) Lyapunov exponent Invariant (physics) Subshift of finite type 01 natural sciences symbols.namesake 0103 physical sciences FOS: Mathematics symbols 010307 mathematical physics Mathematics - Dynamical Systems 0101 mathematics Analysis Mathematics |
| Zdroj: | Journal of Modern Dynamics. 12:223-260 |
| ISSN: | 1930-532X |
| DOI: | 10.3934/jmd.2018009 |
| Popis: | We prove a conjecture of Viana which states that Lyapunov exponents vary continuously when restricted to $GL(2,\mathbb{R})$-valued cocycles over a subshift of finite type which admit invariant holonomies that depend continuously on the cocycle. 34 pages, 1 figure |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|