Uniform quasi-multiplicativity of locally constant cocycles and applications

Ergodicity, mixing, rates of mixing (37A25) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Symbolic dynamics (37B10)

Cites Work

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Ground states are generically a periodic orbit
Equilibrium states of the pressure function for products of matrices
Lyapunov exponents for products of matrices and multifractal analysis. II: General matrices
Entropy for zero-temperature limits of Gibbs-equilibrium states for countable-alphabet subshifts of finite type
The thermodynamic formalism for sub-additive potentials
Lyapunov exponents for products of matrices and multifractal analysis. I: Positive matrices
The ergodic theory of shrinking targets
Thermodynamic formalism of \(\mathrm{GL}_2(\mathbb{R})\)-cocycles with canonical holonomies
Lyapunov spectrum properties and continuity of the lower joint spectral radius
Quasi-multiplicativity of typical cocycles
Zero temperature limits of equilibrium states for subadditive potentials and approximation of maximal Lyapunov exponent
Totally ergodic generalised matrix equilibrium states have the Bernoulli property
Extremal norms for fiber-bunched cocycles
Zero temperature limits of Gibbs-equilibrium states for countable alphabet subshifts of finite type
On shrinking targets for piecewise expanding interval maps
Ergodic properties of matrix equilibrium states
The weak Bernoulli property for matrix Gibbs states
Some systems with unique equilibrium states
Gibbs measures at temperature zero
Shrinking targets on Bedford-McMullen carpets
Structure of equilibrium states on self-affine sets and strict monotonicity of affinity dimension
Thermodynamic Formalism
A necessary and sufficient condition for a matrix equilibrium state to be mixing
Dynamically defined subsets of generic self-affine sets*
Recurrence to Shrinking Targets on Typical Self-Affine Fractals
Ergodic optimization in dynamical systems
Lyapunov exponents with multiplicity 1 for deterministic products of matrices
Noncommuting Random Products
ON THE HAUSDORFF MEASURE OF SHRINKING TARGET SETS ON SELF‐CONFORMAL SETS

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