Complex dynamics, value distributions, and potential theory.

Okuyama, Yûsuke

Displaying similar documents to “Complex dynamics, value distributions, and potential theory.”

Failure of the condition N below $W^{1, n}$ .

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Annales Academiae Scientiarum Fennicae. Mathematica

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Generalized order and best approximation of entire function in $L^{p}$ -norm.

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International Journal of Mathematics and Mathematical Sciences

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Berry-Esseen bounds for the number of maxima in planar regions.

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Some sufficient conditions for analytic functions to belong to $𝒬_{K, 0} (p, q)$ space.

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On the growth of entire functions with zero sets having infinite exponent of convergence.

Miles, Joseph (2002)

Annales Academiae Scientiarum Fennicae. Mathematica

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On a problem in complex oscillation theory of periodic second order linear differential equations and some related perturbation results.

Chiang, Yik-Man, Gao, Shi-An (2002)

Annales Academiae Scientiarum Fennicae. Mathematica

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Jordan tori and polynomial endomorphisms in $ℂ^{2}$

Manfred Denker, Stefan Heinemann (1998)

Fundamenta Mathematicae

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For a class of quadratic polynomial endomorphisms $f : ℂ^{2} \to ℂ^{2}$ close to the standard torus map $(x, y) \to (x^{2}, y^{2})$ , we show that the Julia set J(f) is homeomorphic to the torus. We identify J(f) as the closure ℛ of the set of repelling periodic points and as the Shilov boundary of the set K(f) of points with bounded forward orbit. Moreover, it turns out that (J(f),f) is a mixing repeller and supports a measure of maximal entropy for f which is uniquely determined as the harmonic measure for K(f).

Remarks on arithmetical functions $a_{p} (n), γ (n), τ (n)$ .

Fehér, Zoltán, László, Béla, Maǎj, Martin, Šalát, Tibor (2006)

Annales Mathematicae et Informaticae

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Li-Yorke pairs of full Hausdorff dimension for some chaotic dynamical systems

J. Neunhäuserer (2010)

Mathematica Bohemica

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We show that for some simple classical chaotic dynamical systems the set of Li-Yorke pairs has full Hausdorff dimension on invariant sets.