Fixed points of polynomial maps. I. Rotation subsets of the circles

DOI10.24033/ASENS.1663zbMath0771.30027OpenAlexW2521780561MaRDI QIDQ5285846

Lisa R. Goldberg

Publication date: 29 June 1993

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1992_4_25_6_679_0

zbMATH Keywords

rotation numberrotation setrepelling fixed point

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05)

Related Items (9)

Matings of cubic polynomials with a fixed critical point. Part II: α-symmetry of limbs ⋮ Fixed points of polynomial maps. Part II. Fixed point portraits ⋮ Rotation numbers and symbolic dynamics ⋮ The existence and structure of rotational systems in the circle ⋮ Continued fractions with $SL(2, Z)$-branches: combinatorics and entropy ⋮ Rotational subsets of the circle under \(z^d\) ⋮ On combinatorial types of periodic orbits of the map \(x \mapsto kx \pmod{\mathbb{Z}} \) ⋮ Ribbon ℝ-trees and holomorphic dynamics on the unit disk ⋮ Orbit portraits of unicritical antiholomorphic polynomials

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