Existence of unique SRB-measures is typical for real unicritical polynomial families
Henk Bruin, Weixiao Shen, Sebastian Van Strien (2006)
Annales scientifiques de l'École Normale Supérieure
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Displaying similar documents to “Induced expansion for quadratic polynomials”
Existence of unique SRB-measures is typical for real unicritical polynomial families
Supersymmetric measures and maximum principles in the complex domain. Exponential decay of Green's functions
J. Sjöstrand, W.-M. Wang (1999)
Annales scientifiques de l'École Normale Supérieure
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Geography of the cubic connectedness locus : intertwining surgery
Adam Epstein, Michael Yampolsky (1999)
Annales scientifiques de l'École Normale Supérieure
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Dynamics of quadratic polynomials : complex bounds for real maps
Mikhail Lyubich, Michael Yampolsky (1997)
Annales de l'institut Fourier
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We prove complex bounds for infinitely renormalizable real quadratic maps with essentially bounded combinatorics. This is the last missing ingredient in the problem of complex bounds for all infinitely renormalizable real quadratics. One of the corollaries is that the Julia set of any real quadratic map , , is locally connected.
On the dynamics of polynomial-like mappings
Adrien Douady, John Hamal Hubbard (1985)
Annales scientifiques de l'École Normale Supérieure
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