Entropy of Lyapunov-Optimizing Measures of Some Matrix Cocycles

DOI10.1007/978-3-319-18660-3_9zbMath1359.37116OpenAlexW1503812111MaRDI QIDQ2808818

Michał Rams

Publication date: 25 May 2016

Published in: Fractal Geometry and Stochastics V (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/228420

zbMATH Keywords

joint spectral radiusBarabanov normergodic optimizationnoncommutative multifractal formalism

Mathematics Subject Classification ID

Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Cites Work

• Unnamed Item
• The entropy of Lyapunov-optimizing measures of some matrix cocycles
• Ground states are generically a periodic orbit
• Non-conformal repellers and the continuity of pressure for matrix cocycles
• Thermodynamic formalism and applications to dimension theory
• Some characterizations of domination
• Lyapunov spectrum of asymptotically sub-additive potentials
• Lyapunov indicator of discrete inclusions. I
• The generalized spectral radius and extremal norms
• Uniformly hyperbolic finite-valued \(\mathrm{SL}(2,\mathbb R)\)-cocycles
• Ergodic optimization
• Asymptotic height optimization for topical IFS, Tetris heaps, and the finiteness conjecture
• Maximizing measures of generic Hölder functions have zero entropy

This page was built for publication: Entropy of Lyapunov-Optimizing Measures of Some Matrix Cocycles