Automorphisms of \(\mathbb{C}^2\) with parabolic cylinders

DOI10.1007/S12220-020-00403-4zbMath1464.32019arXiv1907.07457OpenAlexW3017026373MaRDI QIDQ2024677

Han Peters, Filippo Bracci, Luka Boc Thaler

Publication date: 4 May 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.07457

zbMATH Keywords

automorphismslocal dynamicsholomorphic dynamicsFatou components

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) 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 (1)

Invariant escaping Fatou components with two rank-one limit functions for automorphisms of

Cites Work

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• Fatou components with punctured limit sets
• Holomorphic Maps from C n to C n
• ATTRACTING BASINS OF VOLUME PRESERVING AUTOMORPHISMS OF ℂ^k
• Polynomial Diffeomorphisms of C 2 . II: Stable Manifolds and Recurrence
• Basins of attraction of automorphisms in ℂ³

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