Displaying similar documents to “Porosity of Julia sets of non-recurrent and parabolic Collet-Eckmann rational functions.”

Density of critical factorizations

Tero Harju, Dirk Nowotka (2002)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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We investigate the density of critical factorizations of infinite sequences of words. The density of critical factorizations of a word is the ratio between the number of positions that permit a critical factorization, and the number of all positions of a word. We give a short proof of the Critical Factorization Theorem and show that the maximal number of noncritical positions of a word between two critical ones is less than the period of that word. Therefore, we consider only words of...

Endomorphic cuts and tails

Karel Čuda, Athanossios Tzouvaras (1987)

Commentationes Mathematicae Universitatis Carolinae

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On homeomorphic and diffeomorphic solutions of the Abel equation on the plane

Zbigniew Leśniak (1993)

Annales Polonici Mathematici

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We consider the Abel equation φ[f(x)] = φ(x) + a on the plane ℝ², where f is a free mapping (i.e. f is an orientation preserving homeomorphism of the plane onto itself with no fixed points). We find all its homeomorphic and diffeomorphic solutions φ having positive Jacobian. Moreover, we give some conditions which are equivalent to f being conjugate to a translation.