Orbit portraits of unicritical antiholomorphic polynomials

DOI10.1090/S1088-4173-2015-00276-3zbMath1384.37055arXiv1404.7193OpenAlexW3098015089MaRDI QIDQ5248106

Sabyasachi Mukherjee

Publication date: 27 April 2015

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.7193

zbMATH Keywords

quadratic polynomialantiholomorphic polynomialcombinatorial toolperiodic dynamical ray

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Combinatorial dynamics (types of periodic orbits) (37E15) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (5)

Non-landing parameter rays of the multicorns ⋮ Dynamics of Schwarz Reflections: The Mating Phenomena ⋮ On multicorns and unicorns II: bifurcations in spaces of antiholomorphic polynomials ⋮ Parabolic arcs of the multicorns: real-analyticity of Hausdorff dimension, and singularities of \(\mathrm{Per}_n(1)\) curves ⋮ Discontinuity of Straightening in Anti-holomorphic Dynamics: I

Cites Work

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• Non-landing parameter rays of the multicorns
• Multicorns are not Path Connected
• On multicorns and unicorns II: bifurcations in spaces of antiholomorphic polynomials
• Connectedness of the tricorn
• On the structure of the Mandelbar set
• ON MULTICORNS AND UNICORNS I: ANTIHOLOMORPHIC DYNAMICS, HYPERBOLIC COMPONENTS AND REAL CUBIC POLYNOMIALS
• Fixed points of polynomial maps. I. Rotation subsets of the circles
• Fixed points of polynomial maps. Part II. Fixed point portraits
• Dynamics in One Complex Variable. (AM-160)

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