Backward orbits in the unit ball

DOI10.1090/PROC/14544zbMath1429.32024arXiv1807.11767OpenAlexW2964128680WikidataQ128452086 ScholiaQ128452086MaRDI QIDQ5233973

Leandro Arosio, Lorenzo Guerini

Publication date: 9 September 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.11767

zbMATH Keywords

canonical modelsholomorphic iterationbackward orbits

Mathematics Subject Classification ID

Boundary behavior of holomorphic functions of several complex variables (32A40) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Dynamical systems over complex numbers (37F99)

Related Items (3)

The horofunction boundary of a Gromov hyperbolic space ⋮ Backward dynamics of non-expanding maps in Gromov hyperbolic metric spaces ⋮ Canonical models on strongly convex domains via the squeezing function

Cites Work

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• Backward iteration in the unit ball
• The stable subset of a univalent self-map
• Valiron's construction in higher dimension
• Backward-iteration sequences with bounded hyperbolic steps for analytic self-maps of the disk
• Canonical models for the forward and backward iteration of holomorphic maps
• Canonical models for holomorphic iteration
• Common Boundary Regular Fixed Points for Holomorphic Semigroups in Strongly Convex Domains
• Fixed points of commuting holomorphic mappings other than the Wolff point

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