Elliptic functions with critical points eventually mapped onto infinity

DOI10.1007/s00605-005-0373-5zbMath1104.37033OpenAlexW2088131781WikidataQ115181053 ScholiaQ115181053MaRDI QIDQ857844

Janina Kotus

Publication date: 5 January 2007

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-005-0373-5

zbMATH Keywords

Julia setHausdorff dimensionergodic propertiesclass of elliptic functions

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) 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) Elliptic functions and integrals (33E05)

Related Items (4)

A family of elliptic functions with Julia set the whole sphere ⋮ Elliptic functions with critical orbits approaching infinity ⋮ Stability of Cantor Julia sets in the space of iterated elliptic functions ⋮ PARAMETERIZED DYNAMICS FOR THE WEIERSTRASS ELLIPTIC FUNCTION OVER SQUARE PERIOD LATTICES

Cites Work

• Existence of invariant measures for transcendental subexpanding functions
• Ergodic properties and Julia sets of Weierstrass elliptic functions
• Geometry and ergodic theory on non-recurrent elliptic functions
• Connectivity properties of Julia sets of Weierstrass elliptic functions
• On Sullivan's conformal measures for rational maps of the Riemann sphere
• Iteration of a class of hyperbolic meromorphic functions
• Iteration of meromorphic functions
• Geometry and ergodic theory of conformal non-recurrent dynamics
• HAUSDORFF DIMENSION AND HAUSDORFF MEASURES OF JULIA SETS OF ELLIPTIC FUNCTIONS
• Parametrized dynamics of the Weierstrass elliptic function
• Non-recurrent meromorphic functions
• Dimensions and Measures in Infinite Iterated Function Systems

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