Trivial and simple spectrum for SL ( d , ℝ) cocycles with free base and fiber dynamics
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| 024 | 7 | 0 | |a 10.1007/s10114-015-4417-z |2 doi |
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| 245 | 0 | 0 | |a Trivial and simple spectrum for SL ( d , ℝ) cocycles with free base and fiber dynamics |h [Elektronische Daten] |c [Mário Bessa, Paulo Varandas] |
| 520 | 3 | |a Let AC D (M,SL(d,ℝ)) denote the pairs (f,A) so that f ∈ A ⊂ Diff1(M) is a C 1-Anosov transitive diffeomorphisms and A is an SL(d,ℝ) cocycle dominated with respect to f. We prove that open and densely in AC D (M,SL(d,ℝ)), in appropriate topologies, the pair (f,A) has simple spectrum with respect to the unique maximal entropy measure µ f . Then, we prove prevalence of trivial spectrum near the dynamical cocycle of an area-preserving map and also for generic cocycles in AutLeb(M) × L p (M,SL(d,ℝ)). | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Linear cocycles |2 nationallicence | |
| 690 | 7 | |a Lyapunov exponents |2 nationallicence | |
| 690 | 7 | |a Anosov diffeomorphisms |2 nationallicence | |
| 690 | 7 | |a topological conjugacy |2 nationallicence | |
| 690 | 7 | |a maximal entropy measures |2 nationallicence | |
| 700 | 1 | |a Bessa |D Mário |u Departamento de Matemática, Universidade da Beira Interior, Rua Marquês d' Ávila e Bolama, 6201-001, Covilhã, Portugal |4 aut | |
| 700 | 1 | |a Varandas |D Paulo |u Departamento de Matemática, Universidade Federal da Bahia, Av. Ademar de Barros s/n, 40170-110, Salvador, Brazil |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/7(2015-07-01), 1113-1122 |x 1439-8516 |q 31:7<1113 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-4417-z |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-4417-z |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Bessa |D Mário |u Departamento de Matemática, Universidade da Beira Interior, Rua Marquês d' Ávila e Bolama, 6201-001, Covilhã, Portugal |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Varandas |D Paulo |u Departamento de Matemática, Universidade Federal da Bahia, Av. Ademar de Barros s/n, 40170-110, Salvador, Brazil |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/7(2015-07-01), 1113-1122 |x 1439-8516 |q 31:7<1113 |1 2015 |2 31 |o 10114 | ||