Dynamic rays of bounded-type transcendental self-maps of the punctured plane

DOI10.3934/dcds.2017134zbMath1383.37032arXiv1603.03311OpenAlexW3103969654MaRDI QIDQ515250

Núria Fagella, David Martí-Pete

Publication date: 13 March 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.03311

zbMATH Keywords

complex dynamicsescaping settranscendental functionpunctured planebounded-type functiondynamic ray

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (8)

Extended escaping set for meromorphic functions outside a countable set of transcendental singularities ⋮ Topological dynamics of cosine maps ⋮ Spiders' webs in the punctured plane ⋮ On the connectivity of the escaping set in the punctured plane ⋮ A converse landing theorem in parameter spaces ⋮ The escaping set of transcendental self-maps of the punctured plane ⋮ Function theory on annuli ⋮ Escaping Fatou components of transcendental self-maps of the punctured plane

Cites Work

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• Absence of wandering domains for some real entire functions with bounded singular sets
• Brushing the hairs of transcendental entire functions
• A new characterisation of the Eremenko-Lyubich class
• Dynamic rays of bounded-type entire functions
• Dynamical properties of some classes of entire functions
• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• Dynamics of the complex standard family
• On the singularities of the inverse to a meromorphic function of finite order
• Constructing entire functions by quasiconformal folding
• Trees and hairs for some hyperbolic entire maps of finite order
• Hyperbolic entire functions and the Eremenko-Lyubich class: Class \(\mathcal {B}\) or not class \(\mathcal {B}\)?
• Entire functions with bounded minimum modulus; subharmonic functions analogues
• A landing theorem for periodic dynamic rays for transcendental entire maps with bounded post-singular set
• The Geometry of Julia Sets
• On questions of Fatou and Eremenko
• Dynamics of meromorphic functions with direct or logarithmic singularities
• Siegel disks and periodic rays of entire functions
• Are Devaney hairs fast escaping?
• On a question of Eremenko concerning escaping components of entire functions
• Dynamics of exp (z)
• Dynamics of entire functions near the essential singularity
• Topology and growth of a special class of holomorphic self-maps of ℂ*
• On semiconjugation of entire functions
• Iteration of meromorphic functions
• ESCAPING POINTS OF EXPONENTIAL MAPS
• The escaping set of transcendental self-maps of the punctured plane
• On the Multiple Points of Certain Meromorphic Functions
• On the Julia set of analytic self-maps of the punctured plane
• A separation theorem for entire transcendental maps
• DIMENSIONS OF JULIA SETS OF MEROMORPHIC FUNCTIONS
• A landing theorem for periodic rays of exponential maps
• On Integral Functions Having Prescribed Asymptotic Growth. II
• Dynamics in One Complex Variable. (AM-160)
• On the Iteration of analytic functions .

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