Indecomposable continua in exponential dynamics -- Hausdorff dimension

DOI10.1016/j.topol.2014.10.014zbMath1345.37049arXiv1405.7784OpenAlexW1982330866MaRDI QIDQ471488

Anna Zdunik, Łukasz Pawelec

Publication date: 14 November 2014

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.7784

zbMATH Keywords

Julia setHausdorff dimensionindecomposable continuumescaping setcomplex exponential familydynamics of transcendental functions

Mathematics Subject Classification ID

Cites Work

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• Dynamical properties of some classes of entire functions
• The dynamical fine structure of iterated cosine maps and a dimension paradox
• The exponential map is not recurrent
• Cantor bouquets, explosions, and Knaster continua: Dynamics of complex exponentials
• Geometry and ergodic theory of non-hyperbolic exponential maps
• Parameter rays in the space of exponential maps
• Dynamics of exp (z)
• The Differentiability of the Hairs of exp(Z)
• A finiteness theorem for a dynamical class of entire functions
• On iterates of e^z
• Hausdorff dimension of the hairs without endpoints for λ exp z
• Iteration of meromorphic functions
• Knaster-like continua and complex dynamics
• Hausdorff dimension of theM-set of λ exp(z)
• Indecomposable continua in exponential dynamics
• Classification of escaping exponential maps
• INDECOMPOSABLE CONTINUA AND MISIUREWICZ POINTS IN EXPONENTIAL DYNAMICS
• Topological dynamics of exponential maps on their escaping sets

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