Attractors of maps of the interval
A. M. Blokh, M. Yu. Lyubich (1989)
Banach Center Publications
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Displaying similar documents to “On unimodal maps with critical order 2 + ε”
Attractors of maps of the interval
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We construct a polynomial f:ℂ² → ℂ of degree 4k+2 with no critical points in ℂ² and with 2k critical values at infinity.
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Adam Epstein, Thomas Sharland (2012)
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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.
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Feliks Przytycki (1996)
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Let be the set of all rational maps of degree d ≥ 2 on the Riemann sphere, expanding on their Julia set. We prove that if and all, or all but one, critical points (or values) are in the basin of immediate attraction to an attracting fixed point then there exists a polynomial in the component H(f) of containing f. If all critical points are in the basin of immediate attraction to an attracting fixed point or a parabolic fixed point then f restricted to the Julia set is conjugate...
Density of Critical Factorizations
Tero Harju, Dirk Nowotka (2010)
RAIRO - Theoretical Informatics and 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...