Discontinuity of Straightening in Anti-Holomorphic Dynamics: II

DOI10.1093/imrn/rnaa365zbMath1502.37055arXiv2010.01129OpenAlexW3129022323MaRDI QIDQ5075191

Hiroyuki Inou, Sabyasachi Mukherjee

Publication date: 10 May 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.01129

zbMATH Keywords

renormalizationMandelbrot setconnectedness locusMandelbar settricornstraightening mapanti-holomorphic polynomial

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Renormalization of holomorphic dynamical systems (37F25) Bifurcations; parameter spaces in holomorphic dynamics; the Mandelbrot and Multibrot sets (37F46) Holomorphic families of dynamical systems; holomorphic motions; semigroups of holomorphic maps (37F44)

Related Items

Non-landing parameter rays of the multicorns