Uniformly hyperbolic finite-valued \(\mathrm{SL}(2,\mathbb R)\)-cocycles
From MaRDI portal
Publication:1959752
DOI10.4171/CMH/212zbMath1201.37032arXiv0808.0133MaRDI QIDQ1959752
Jean-Christophe Yoccoz, Jairo Bochi, Artur Avila
Publication date: 7 October 2010
Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0808.0133
Positive matrices and their generalizations; cones of matrices (15B48) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical aspects of attractors and their bifurcations (37G35)
Related Items (30)
On the spectrum of the periodic Anderson–Bernoulli model ⋮ Some characterizations of domination ⋮ The entropy of Lyapunov-optimizing measures of some matrix cocycles ⋮ Eigenvalue gaps for hyperbolic groups and semigroups ⋮ Must the spectrum of a random Schrödinger operator contain an interval? ⋮ Variational principle for nonhyperbolic ergodic measures: skew products and elliptic cocycles ⋮ Invariant measures for iterated function systems with inverses ⋮ Degenerate behavior in non-hyperbolic semigroup actions on the interval: fast growth of periodic points and universal dynamics ⋮ On the minimality of semigroup actions on the interval which areC1-close to the identity ⋮ \(p\)-dominant switched linear systems ⋮ Unnamed Item ⋮ Dimension maximizing measures for self-affine systems ⋮ Upper bound on the regularity of the Lyapunov exponent for random products of matrices ⋮ Mingled hyperbolicities: ergodic properties and bifurcation phenomena (an approach using concavity) ⋮ Nonhyperbolic dynamics by mingling, blending, and flip-flopping ⋮ Some questions and remarks on Lyapunov irregular behavior for linear cocycles ⋮ Logarithmic Fourier decay for self conformal measures ⋮ On the Ledrappier–Young formula for self-affine measures ⋮ A dynamical Thouless formula ⋮ An invitation to \(SL_2(\mathbb{R})\) cocycles over random dynamics ⋮ Domination, almost additivity, and thermodynamic formalism for planar matrix cocycles ⋮ Parametric Furstenberg theorem on random products of \(\mathrm{SL}(2, \mathbb{R})\) matrices ⋮ Invariant multicones for families of matrices ⋮ Entropy spectrum of Lyapunov exponents for nonhyperbolic step skew-products and elliptic cocycles ⋮ Continuity properties of the lower spectral radius ⋮ Entropy of Lyapunov-Optimizing Measures of Some Matrix Cocycles ⋮ Pointwise normality and Fourier decay for self-conformal measures ⋮ On the discreteness of states accessible via right-angled paths in hyperbolic space ⋮ The joint spectrum ⋮ Fast Approximation of the $p$-Radius, Matrix Pressure, or Generalized Lyapunov Exponent for Positive and Dominated Matrices
This page was built for publication: Uniformly hyperbolic finite-valued \(\mathrm{SL}(2,\mathbb R)\)-cocycles
