STABLY POSITIVE LYAPUNOV EXPONENTS FOR SYMPLECTIC LINEAR COCYCLES OVER PARTIALLY HYPERBOLIC DIFFEOMORPHISMS

被引：6

作者：

Poletti, Mauricio ^{[1
]}

机构：

[1] Univ Paris 13, LAGA, 99 Av Jean Baptiste Clement, F-93430 Villetaneus, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2018年 / 38卷 / 10期

关键词：

Lyapunov exponents; partially hyperbolic diffeomorphism; linear cocyles; symplectic cocycles; Anosov flows;

D O I：

10.3934/dcds.2018228

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider Sp(2d, R) cocycles over two classes of partially hyperbolic diffeomorphisms: having compact center leaves and time one maps of Anosov flows. We prove that the Lyapunov exponents are non-zero in an open and dense set in the Holder topology.

引用

页码：5163 / 5188

页数：26

共 50 条

[1] Density of positive Lyapunov exponents for symplectic cocycles
Xu, Disheng
[J]. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2019, 21 (10) : 3143 - 3190
[2] Holder continuity of the Lyapunov exponents of linear cocycles over hyperbolic maps
Duarte, Pedro
Klein, Silvius
Poletti, Mauricio
[J]. MATHEMATISCHE ZEITSCHRIFT, 2022, 302 (04) : 2285 - 2325
[3] Hölder continuity of the Lyapunov exponents of linear cocycles over hyperbolic maps
Pedro Duarte
Silvius Klein
Mauricio Poletti
[J]. Mathematische Zeitschrift, 2022, 302 : 2285 - 2325
[4] HOLONOMIES AND COHOMOLOGY FOR COCYCLES OVER PARTIALLY HYPERBOLIC DIFFEOMORPHISMS
Kalinin, Boris
Sadovskaya, Victoria
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (01) : 245 - 259
[5] Lyapunov exponents and smooth invariant foliations for partially hyperbolic diffeomorphisms on
Varao, R.
[J]. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2015, 30 (02): : 189 - 199
[6] Simple Lyapunov spectrum for certain linear cocycles over partially hyperbolic maps
Poletti, Mauricio
Viana, Marcelo
[J]. NONLINEARITY, 2019, 32 (01) : 238 - 284
[7] Lyapunov exponents of linear cocycles over Markov shifts
Malheiro, Elais C.
Viana, Marcelo
[J]. STOCHASTICS AND DYNAMICS, 2015, 15 (03)
[8] The set of fiber-bunched cocycles with nonvanishing Lyapunov exponents over a partially hyperbolic map is open
Backes, Lucas
Poletti, Mauricio
Sanchez, Adriana
[J]. MATHEMATICAL RESEARCH LETTERS, 2018, 25 (06) : 1719 - 1740
[9] LYAPUNOV EXPONENTS OF COCYCLES OVER NON-UNIFORMLY HYPERBOLIC SYSTEMS
Kalinin, Boris
Sadovskaya, Victoria
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 38 (10) : 5105 - 5118
[10] Stably ergodic diffeomorphisms which are not partially hyperbolic
Ali Tahzibi
[J]. Israel Journal of Mathematics, 2004, 142 : 315 - 344

← 1 2 3 4 5 →