The dynamical fine structure of iterated cosine maps and a dimension paradox
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Publication:868721
DOI10.1215/S0012-7094-07-13625-1zbMath1114.37024arXivmath/0406255MaRDI QIDQ868721
Publication date: 26 February 2007
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0406255
Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Symbolic dynamics (37B10) Dimension theory of smooth dynamical systems (37C45)
Related Items (13)
Topological dynamics of cosine maps ⋮ Iteration of quasiregular mappings ⋮ The dimension paradox in parameter space of cosine family ⋮ Dynamic rays of bounded-type entire functions ⋮ Indecomposable continua in exponential dynamics -- Hausdorff dimension ⋮ GEOMETRY OF DYNAMICAL SYSTEMS AND TOPOLOGICAL STABILITY: FROM BIFURCATION, CHAOS AND FRACTALS TO DYNAMICS IN NATURAL AND LIFE SCIENCES ⋮ Escaping endpoints explode ⋮ Area of Fatou sets of trigonometric functions ⋮ Dynamics in the Eremenko-Lyubich class ⋮ Exponential Thurston maps and limits of quadratic differentials ⋮ Parameter rays in the space of exponential maps ⋮ Semiconjugacies, pinched Cantor bouquets and hyperbolic orbifolds ⋮ The Hausdorff dimension of directional edge escaping points set
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- ESCAPING POINTS OF EXPONENTIAL MAPS
- Hausdorff Dimension, Its Properties, and Its Surprises
- Topological dynamics of exponential maps on their escaping sets
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