Algebraic independence of multipliers of periodic orbits in the space of polynomial maps of one variable

DOI10.1017/etds.2014.103zbMath1351.37185arXiv1305.0867OpenAlexW2045199562MaRDI QIDQ2813944

Igors Gorbovickis

Publication date: 17 June 2016

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.0867

zbMATH Keywords

polynomialsperiodic points

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (7)

Higher bifurcations for polynomial skew products ⋮ Critical Points of the Multiplier Map for the Quadratic Family ⋮ The moduli space of polynomial maps and their fixed-point multipliers ⋮ The moduli space of polynomial maps and their fixed-point multipliers: II. Improvement to the algorithm and monic centered polynomials ⋮ Dynamical systems of correspondences on the projective line I: Moduli spaces and multiplier maps ⋮ Multipliers and invariants of endomorphisms of projective space in dimension greater than 1 ⋮ Spaces of polynomials related to multiplier maps

Cites Work

• Moduli spaces for families of rational maps on \(\mathbb P^1\)
• Families of rational maps and iterative root-finding algorithms
• Galois groups of periodic points
• Polynomials in one variable and ranks of certain tangent maps
• One-dimensional polynomial maps, periodic points and multipliers
• Geometry and Dynamics of Quadratic Rational Maps
• Dynamics in One Complex Variable. (AM-160)

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