Expansion of derivatives in one-dimensional dynamics

DOI10.1007/BF02785964zbMath1122.37310WikidataQ59184882 ScholiaQ59184882MaRDI QIDQ2382235

Henk Bruin, Sebastian J. van Strien

Publication date: 28 September 2007

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

critical pointsJulia setattractorperiodic pointrepellerhyperbolic periodic attractorreal and complex one-dimensional maps

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Iteration theory, iterative and composite equations (39B12) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dynamical systems involving maps of the interval (37E05) Dynamical systems with hyperbolic behavior (37D99)

Related Items

On Nörlund-Voronoi summability and instability of rational maps, Statistical properties and decay of correlations for interval maps with critical points and singularities, The Lyapunov exponent of holomorphic maps, Equilibrium states, pressure and escape for multimodal maps with holes, Analytic structures and harmonic measure at bifurcation locus, Fixed points of the Ruelle–Thurston operator and the Cauchy transform, Natural equilibrium states for multimodal maps, Decay of correlations in one-dimensional dynamics, Non-uniform hyperbolicity in complex dynamics, Invariant measures for interval maps with critical points and singularities

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