Algebraic independence of multipliers of periodic orbits in the space of rational maps of the Riemann sphere

zbMath1336.37037arXiv1401.4713MaRDI QIDQ2801866

Igors Gorbovickis

Publication date: 22 April 2016

Full work available at URL: https://arxiv.org/abs/1401.4713

zbMATH Keywords

multipliers of periodic orbitsrational maps of the Riemann sphere

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dynamical systems involving relations and correspondences in one complex variable (37F05)

Related Items (4)

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

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