Rational maps with real multipliers

DOI10.1090/S0002-9947-2011-05308-0zbMath1286.37049arXiv0810.2260OpenAlexW2101337400WikidataQ98142553 ScholiaQ98142553MaRDI QIDQ3103851

Alexandre Eremenko, Sebastian J. van Strien

Publication date: 12 December 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.2260

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 (18)

Symmetries of Julia sets for rational maps ⋮ Heights and totally real numbers ⋮ Quadratic rational maps with integer multipliers ⋮ Homoclinic orbits, multiplier spectrum and rigidity theorems in complex dynamics ⋮ Julia sets of hyperbolic rational maps have positive Fourier dimension ⋮ Rational maps with rational multipliers ⋮ Dimension rigidity in conformal structures ⋮ Rigidity and absence of line fields for meromorphic and Ahlfors islands maps ⋮ Strongly automorphic mappings and Julia sets of uniformly quasiregular mappings ⋮ Some problems of arithmetic origin in rational dynamics ⋮ On simultaneous linearization ⋮ Meromorphic functions with linearly distributed values and Julia sets of rational functions ⋮ Reduced dynamical systems ⋮ Statistics of multipliers for hyperbolic rational maps ⋮ Extremality and dynamically defined measures, part II: Measures from conformal dynamical systems ⋮ Unicritical polynomial maps with rational multipliers ⋮ When do two rational functions have locally biholomorphic Julia sets? ⋮ Prime number theorems and holonomies for hyperbolic rational maps

Cites Work

• Meromorphic functions with linearly distributed values and Julia sets of rational functions
• Dynamics in One Complex Variable. (AM-160)
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