Thermodynamic formalism for invariant measures in iterated function systems with overlaps

DOI10.1142/S0219199721500413zbMath1503.37049arXiv2107.04385OpenAlexW3143148956MaRDI QIDQ5095852

Eugen Mihailescu

Publication date: 11 August 2022

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.04385

zbMATH Keywords

Lyapunov exponentsthermodynamic formalismHausdorff dimensionconformal iterated function systemshyperbolic endomorphisms

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)

Related Items (3)

Geometry of measures in random systems with complete connections ⋮ Vector-valued Ruelle operator for weakly contractive IFS and Dini matrix potentials ⋮ Invariant measures in non-conformal fibered systems with singularities

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