ALMOST ADDITIVE THERMODYNAMIC FORMALISM: SOME RECENT DEVELOPMENTS

DOI10.1142/S0129055X10004168zbMath1225.37028MaRDI QIDQ3067154

Luis Barreira

Publication date: 20 January 2011

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Lyapunov exponentsthermodynamic formalismGibbs measuresconditional variational principlealmost additive sequences

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dimension theory of smooth dynamical systems (37C45)

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Unstable pressure of subsets for partially hyperbolic systems, Dimension estimates for iterated function systems and repellers. Part II, Almost additive topological pressure of proper systems, On entropy production of repeated quantum measurements. I. General theory, Weak Gibbs measures as Gibbs measures for asymptotically additive sequences, Dimension estimates for iterated function systems and repellers. Part I, Domination, almost additivity, and thermodynamic formalism for planar matrix cocycles, Hidden Gibbs measures on shift spaces over countable alphabets, Variational principle for topological pressures on subsets, Non-conformal repellers and the continuity of pressure for matrix cocycles, Q-entropy for general topological dynamical systems, Topological pressure dimension for almost additive potentials, The asymptotically additive topological pressure: variational principle for non-compact and intersection of irregular sets, Additive, almost additive and asymptotically additive potential sequences are equivalent, Self-affine Sets and the Continuity of Subadditive Pressure

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