Domination, almost additivity, and thermodynamic formalism for planar matrix cocycles

DOI10.1007/s11856-020-2054-4zbMath1452.37039arXiv1802.01916OpenAlexW3082418582MaRDI QIDQ2204404

Antti Käenmäki, Ian D. Morris, Balázs Bárány

Publication date: 15 October 2020

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.01916

zbMATH Keywords

thermodynamic formalismdominationlinear cocyclesalmost additivity

Mathematics Subject Classification ID

Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (8)

Dynamically defined subsets of generic self-affine sets* ⋮ A convex analysis approach to entropy functions, variational principles and equilibrium states ⋮ On the multifractal formalism of Lyapunov exponents: a survey of recent results ⋮ Assouad dimension of planar self-affine sets ⋮ Totally ergodic generalised matrix equilibrium states have the Bernoulli property ⋮ Dimension of generic self-affine sets with holes ⋮ Dimension spectrum of infinite self-affine iterated function systems ⋮ Ledrappier-Young formulae for a family of nonlinear attractors

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