Quadratic rational maps lacking period 2 orbits

DOI10.1090/S0002-9939-09-09852-9zbMath1180.37068OpenAlexW2057573104MaRDI QIDQ3395581

Rika Hagihara

Publication date: 11 September 2009

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-09852-9

zbMATH Keywords

complex dynamicsbifurcation locusMandelbrot setquadratic rational maps

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05)

Related Items (4)

Lebesgue measure theoretic dynamics of rational maps ⋮ DYNAMICS AND BIFURCATIONS OF A FAMILY OF RATIONAL MAPS WITH PARABOLIC FIXED POINTS ⋮ A special class of infinite measure-preserving quadratic rational maps ⋮ Isomorphisms of cubic rational maps that preserve an infinite measure

Cites Work

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• Components of degree two hyperbolic rational maps
• On some exceptional rational maps
• On Rational Maps with Two Critical Points
• A parabolic Pommerenke–Levin–Yoccoz inequality
• On the dynamics of rational maps
• On the number of critical points in parabolic basins
• On the julia sets of quadratic rational maps
• Geometry and Dynamics of Quadratic Rational Maps
• Frontiers in complex dynamics
• Lebesgue Ergodic Rational Maps in Parameter Space
• Fixpoints of Polynomials and Rational Functions

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