Equidistribution of critical points of the multipliers in the quadratic family

DOI10.1016/j.aim.2021.107591zbMath1460.37044arXiv1903.00062OpenAlexW3125260283MaRDI QIDQ2227282

Igors Gorbovickis, Tanya Firsova

Publication date: 15 February 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.00062

zbMATH Keywords

multipliersequidistributionholomorphic dynamics

Mathematics Subject Classification ID

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 (2)

Accumulation set of critical points of the multipliers in the quadratic family ⋮ Rational maps with rational multipliers

Cites Work

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• On the dynamics of rational maps
• Hyperbolic Components
• Distribution of rational maps with a preperiodic critical point
• Distribution of postcritically finite polynomials III: Combinatorial continuity
• Quadratic polynomials, multipliers and equidistribution
• Distribution of polynomials with cycles of a given multiplier

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