Density of positive Lyapunov exponents for quasiperiodic SL(2, R) -cocycles in arbitrary dimension (original) (raw)
Related papers
On the Lyapunov exponent of certain SL(2,ℝ)-valued cocycles II
Differential Equations and Dynamical Systems, 2010
Journal of Dynamics and Differential Equations, 2011
Continuity of the Lyapunov Exponents for Quasiperiodic Cocycles
Communications in Mathematical Physics, 2014
Positive Lyapunov Exponents for Higher Dimensional Quasiperiodic Cocycles
Communications in Mathematical Physics, 2014
Lyapunov exponents of continuous Schr��dinger cocycles over irrational rotations
2008
Remarks concerning the Lyapunov exponents of linear cocycles
The upper Lyapunov exponent of Sl(2,R) cocycles: Discontinuity and the problem of positivity
Lecture Notes in Mathematics, 1991
Examples of discontinuity of Lyapunov exponent in smooth quasiperiodic cocycles
Duke Mathematical Journal, 2013
Nonexistence of Lyapunov exponents for matrix cocycles
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2017
Positive Lyapunov exponents for a dense set of bounded measurable SL(2, )-cocycles
Ergodic Theory and Dynamical Systems, 1992
Singular analytic linear cocycles with negative infinite Lyapunov exponents
2017
A geometric path from zero Lyapunov exponents to rotation cocycles
2013
2004
Analyticity of the Lyapunov exponents of random products of quasi-periodic cocycles
arXiv (Cornell University), 2021
Almost periodic Szegő cocycles with uniformly positive Lyapunov exponents
2009
Almost periodic Szeg�� cocycles with uniformly positive Lyapunov exponents
2009
Sharp Hölder continuity of the Lyapunov exponent of finitely differentiable quasi-periodic cocycles
Mathematische Zeitschrift
Rigidity results for quasiperiodic SL(2, R)-cocycles
Journal of Modern Dynamics, 2009
Lyapunov non-typical behavior for linear cocycles through the lens of semigroup actions
2021
H\"older continuity of Lyapunov exponent for a family of smooth Schr\"odinger cocycles
arXiv: Dynamical Systems, 2018
Theoretical Computation of Lyapunov Exponents for Almost Periodic Hamiltonian Systems
2011
Israel Journal of Mathematics, 2003
Lyapunov exponents with multiplicity 1 for deterministic products of matrices
Ergodic Theory and Dynamical Systems, 2004
A random cocycle with non Hölder Lyapunov exponent
Discrete & Continuous Dynamical Systems - A, 2019
On SL(2,R)SL(2, R)SL(2,R) valued cocycles of Hölder class with zero exponent over Kronecker flows
Communications on Pure and Applied Analysis, 2010
Lyapunov `Non-typical' Points of Matrix Cocycles and Topological Entropy
Perturbation of the Lyapunov spectra of periodic orbits
Proceedings of the London Mathematical Society, 2012
Transition space for the continuity of the Lyapunov exponent of quasiperiodic Schr\"odinger cocycles
2021
A Note on the Lyapunov and Period Constants
Qualitative Theory of Dynamical Systems, 2020
Expanding maps of the circle rerevisited: positive Lyapunov exponents in a rich family
Global rigidity for ultra-differentiable quasiperiodic cocycles and its spectral applications
2021
Semisimplicity of the Lyapunov spectrum for irreducible cocycles
Removing zero Lyapunov exponents
Ergodic Theory and Dynamical Systems, 2003
Ergodic Theory and Dynamical Systems, 2013
Normal linear stability of quasi-periodic tori
Journal of Differential Equations, 2007