The Exponential Map Is Chaotic: An Invitation to Transcendental Dynamics

DOI10.4169/amer.math.monthly.122.10.919zbMath1361.37002arXiv1408.1129OpenAlexW1742304727WikidataQ58128062 ScholiaQ58128062MaRDI QIDQ2812167

Zhaiming Shen, Lasse Rempe-Gillen

Publication date: 16 June 2016

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.1129

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory (37-01) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (4)

Julia sets of Zorich maps ⋮ A transcendental Julia set of dimension 1 ⋮ Orbifold expansion and entire functions with bounded Fatou components ⋮ Dynamics in the Eremenko-Lyubich class

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