The coding of non-uniformly expanding maps with application to endomorphisms of $CP^k$

DOI10.1017/S0143385702001645zbMath1048.37025OpenAlexW2110276993MaRDI QIDQ4437754

Jérôme Buzzi

Publication date: 3 December 2003

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385702001645

zbMATH Keywords

complex projective spaceLyapunov exponentmeasure of maximal entropy\(C^{1+\alpha}\)-mapfinite-to-one coding

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Symbolic dynamics (37B10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

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Bernoulli coding map and almost sure invariance principle for endomorphisms of \(\mathbb P^k\) ⋮ Puzzles of quasi-finite type, zeta functions and symbolic dynamics for multi-dimensional maps

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