On multicorns and unicorns II: bifurcations in spaces of antiholomorphic polynomials

DOI10.1017/etds.2015.65zbMath1457.37063arXiv1404.5031OpenAlexW3103955345WikidataQ56688806 ScholiaQ56688806MaRDI QIDQ2986625

Dierk Schleicher, Sabyasachi Mukherjee, Shizuo Nakane

Publication date: 16 May 2017

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5031

zbMATH Keywords

Mandelbrot setmulticornsbifurcation structureantiholomorphic polynomials

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Bifurcations; parameter spaces in holomorphic dynamics; the Mandelbrot and Multibrot sets (37F46)

Related Items (19)

Non-landing parameter rays of the multicorns ⋮ Analytic classification of germs of parabolic antiholomorphic diffeomorphisms of codimension k ⋮ Combination Theorems in Groups, Geometry and Dynamics ⋮ Antiholomorphic perturbations of Weierstrass Zeta functions and Green’s function on tori ⋮ Cross-sections of the multicorns ⋮ On deformation space analogies between Kleinian reflection groups and antiholomorphic rational maps ⋮ Dynamics of Schwarz Reflections: The Mating Phenomena ⋮ On the support of the bifurcation measure of cubic polynomials ⋮ Distribution of postcritically finite polynomials III: Combinatorial continuity ⋮ Unnamed Item ⋮ Zalcman functions and similarity between the Mandelbrot set, Julia sets, and the tricorn ⋮ Parabolic arcs of the multicorns: real-analyticity of Hausdorff dimension, and singularities of \(\mathrm{Per}_n(1)\) curves ⋮ Invisible tricorns in real slices of rational maps ⋮ Schwarz reflections and anti-holomorphic correspondences ⋮ Green’s function and anti-holomorphic dynamics on a torus ⋮ A note on the critical points of the localization landscape ⋮ Self-Similarity for the Tricorn ⋮ Orbit portraits of unicritical antiholomorphic polynomials ⋮ Discontinuity of Straightening in Anti-holomorphic Dynamics: I

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