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math.DSMay 24, 2013
17
citations (OpenAlex)
authors
  • Alexander Blokh
  • Lex Oversteegen
  • Ross Ptacek
  • Vladlen Timorin
institutions
  • National Research University Higher School of Economics
  • University of Alabama at Birmingham
arXiv abstractPDF
paper

The Main Cubioid

arXiv:1305.5798 · doi:10.1088/0951-7715/27/8/1879

Abstract

We discuss different analogs of the main cardioid in the parameter space of cubic polynomials, and establish relationships between them.

25 pages

References in corpus (2)

  • Local connectivity and quasi-conformal rigidity of non-renormalizable polynomials
  • Quadratic-like dynamics of cubic polynomials

Cited by in corpus (7)

  • Quadratic-like dynamics of cubic polynomials
  • Location of Siegel capture polynomials in parameter spaces
  • On geometrically finite degenerations I: boundaries of main hyperbolic components
  • The dependence of Lyapunov exponents of polynomials on its coefficients
  • A model of the cubic connectedness locus
  • A model of the cubic connectedness locus
  • Immediate renormalization of complex polynomials
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