Non-recurrent meromorphic functions

DOI10.4064/fm182-3-5zbMath1079.37041OpenAlexW1981700457WikidataQ115181064 ScholiaQ115181064MaRDI QIDQ4829368

Janina Kotus, Grzegorz Świątek, Jacek Graczyk

Publication date: 29 November 2004

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/fm182-3-5

zbMATH Keywords

invariant setcritical pointsJulia setpostcritical settranscendental meromorphic function

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)

Related Items (11)

Elliptic functions with critical points eventually mapped onto infinity ⋮ Rigidity of escaping dynamics for transcendental entire functions ⋮ Speiser meets Misiurewicz ⋮ No finite invariant density for Misiurewicz exponential maps ⋮ Rigidity and absence of line fields for meromorphic and Ahlfors islands maps ⋮ Misiurewicz parameters in the exponential family ⋮ Bifurcations in the space of exponential maps ⋮ Absence of line fields and Mañé’s theorem for nonrecurrent transcendental functions ⋮ Geometry and ergodic theory on non-recurrent elliptic functions ⋮ Rational Misiurewicz maps are rare ⋮ Perturbing Misiurewicz parameters in the exponential family

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