Local complexity growth for iterations of real analytic mappings and semicontinuity moduli of the entropy

DOI10.1017/S0143385700006350zbMath0756.58041OpenAlexW1977159913MaRDI QIDQ4000893

Yosef Yomdin

Publication date: 26 September 1992

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

Full work available at URL: https://doi.org/10.1017/s0143385700006350

zbMATH Keywords

entropygeodesic flows

Mathematics Subject Classification ID

Entropy in general topology (54C70) Geodesic flows in symplectic geometry and contact geometry (53D25) Ergodic theory (37A99) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (14)

Mild parametrizations of power-subanalytic sets ⋮ Algebraic families of analytic functions. I ⋮ Bernstein classes ⋮ Doubling chains on complements of algebraic hypersurfaces ⋮ Asymptotich-expansiveness rate ofC^∞maps ⋮ Tameness in geometry and arithmetic: beyond o-minimality ⋮ Doubling coverings via resolution of singularities and preparation ⋮ Smooth parametrizations in dynamics, analysis, diophantine and computational geometry ⋮ Uniform approximation of near-singular surfaces ⋮ Analytic reparametrization of semi-algebraic sets ⋮ Uniform tail entropy for real analytic maps ⋮ Semialgebraic complexity of functions ⋮ On Topological Entropy of Finite Representations of the Hénon Map ⋮ Complex cellular structures

Cites Work

• Volume growth and entropy
• \(C^ k\)-resolution of semialgebraic mappings, addendum to volume growth and entropy
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Entropy of polynomial and rational maps
• Rate of convergence of conditional entropies for some maps of an interval

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