Hyperbolicity of renormalization of critical circle maps
Michael Yampolsky (2003)
Publications Mathématiques de l'IHÉS
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Michael Yampolsky (2003)
Publications Mathématiques de l'IHÉS
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Przytycki, F., Urbański, M. (2001)
Annales Academiae Scientiarum Fennicae. Mathematica
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de Melo, W. (1998)
Documenta Mathematica
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Kozlovski, O.S. (2000)
Annals of Mathematics. Second Series
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Milnor, John (2004)
Experimental Mathematics
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Stephano Luzzatto, Warwick Tucker (1999)
Publications Mathématiques de l'IHÉS
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A. M. Blokh, M. Yu. Lyubich (1989)
Banach Center Publications
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Marcelo Polezzi, Claudemir Aniz (2006)
Open Mathematics
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In this paper we develop the notion of contact orders for pairs of continuous self-maps (f, g) from ℝn, showing that the set Con(f, g) of all possible contact orders between f and g is a topological invariant (we remark that Con(f, id) = Per(f)). As an interesting application of this concept, we give sufficient conditions for the graphs of two continuous self-maps from ℝ intersect each other. We also determine the ordering of the sets Con(f, 0) and Con(f, h), for h ∈ Hom(ℝ) such that...
Hidalgo, M.C. (1992)
Acta Mathematica Universitatis Comenianae. New Series
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Simin Li, Weixiao Shen (2006)
Fundamenta Mathematicae
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It is proved that a smooth unimodal interval map with critical order 2 + ε has no wild attractor if ε >0 is small.
Rafael Labarca, Carlos Gustavo Moreira (2006)
Annales de l'I.H.P. Analyse non linéaire
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Adam Epstein, Thomas Sharland (2012)
Annales de la faculté des sciences de Toulouse Mathématiques
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We give a Thurston classification of those bicritical rational maps which have two period two superattracting cycles. We also show that all such maps are constructed by the mating of two unicritical degree polynomials.