Connectivity of the Mandelbrot set for the family of renormalization transformations

DOI10.1007/s11425-010-0034-6zbMath1188.37048OpenAlexW1989902610MaRDI QIDQ973741

Junyang Gao, Xiaoguang Wang, Yongcheng Yin, Jianyong Qiao, Wei-Yuan Qiu

Publication date: 26 May 2010

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-0034-6

zbMATH Keywords

connectivityMandelbrot setrenormalization transformations

Mathematics Subject Classification ID

Related Items (5)

Chromatic zeros on hierarchical lattices and equidistribution on parameter space ⋮ Dynamics of a family of rational maps concerning renormalization transformation ⋮ q-plane zeros of the Potts partition function on diamond hierarchical graphs ⋮ Misiurewicz points on the Mandelbrot-like set concerning renormalization transformation ⋮ On the dynamics of a family of generated renormalization transformations

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• 1/s-expansion for generalized dimensions in a hierarchical s-state Potts model
• Jordan domain and Fatou set concerning diamond-like hierarchical Potts models
• Dynamics in One Complex Variable. (AM-160)
• On connectivity of Julia sets of Yang-Lee zeros

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