Quantitative approximations of the Lyapunov exponent of a rational function over valued fields

DOI10.1007/s00209-015-1443-6zbMath1332.37068arXiv1309.2479OpenAlexW2037582578MaRDI QIDQ2516465

Yûsuke Okuyama

Publication date: 3 August 2015

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2479

zbMATH Keywords

periodic pointcomplex dynamicsLyapunov exponentnon-Archimedean dynamicsquantitative approximation

Mathematics Subject Classification ID

Non-Archimedean dynamical systems (11S82) Dynamical systems on Berkovich spaces (37P50)

Related Items (8)

On a characterization of polynomials among rational functions in non-Archimedean dynamics ⋮ Distribution of postcritically finite polynomials. II: Speed of convergence ⋮ Hyperbolic components of rational maps: quantitative equidistribution and counting ⋮ DEGENERATION OF ENDOMORPHISMS OF THE COMPLEX PROJECTIVE SPACE IN THE HYBRID SPACE ⋮ Lower bounds for non-Archimedean Lyapunov exponents ⋮ Approximation of non-archimedean Lyapunov exponents and applications over global fields ⋮ Continuity of the Green function in meromorphic families of polynomials ⋮ Quantitative logarithmic equidistribution of the crucial measures

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