Dynamics of Multi-Resonant Biholomorphisms

DOI10.1093/IMRN/RNS192zbMath1304.32010arXiv1106.1962OpenAlexW2000388722WikidataQ58623167 ScholiaQ58623167MaRDI QIDQ2878677

Jasmin Raissy, Filippo Bracci, Dimitri Zaitsev

Publication date: 4 September 2014

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.1962

zbMATH Keywords

basins of attractiongerms of biholomorphisms of \(\mathbb C^n\)

Mathematics Subject Classification ID

Germs of analytic sets, local parametrization (32B10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (9)

Fatou Flowers and Parabolic Curves ⋮ A Brief Survey on Local Holomorphic Dynamics in Higher Dimensions ⋮ Automorphisms of \(\mathbb C^k\) with an invariant non-recurrent attracting Fatou component biholomorphic to \(\mathbb C \times (\mathbb C^\ast)^{k-1}\) ⋮ Polynomial skew-products in dimension 2: bulging and wandering Fatou components ⋮ Small divisors in discrete local holomorphic dynamics ⋮ Dynamics of quasi-parabolic one-resonant biholomorphisms ⋮ Open problems in local discrete holomorphic dynamics ⋮ Classification of invariant Fatou components for dissipative Hénon maps ⋮ Periodic cycles of attracting Fatou components of type \(\mathbb{C}\times(\mathbb{C}^*)^{d-1}\) in automorphisms of \(\mathbb{C}^d\)

This page was built for publication: Dynamics of Multi-Resonant Biholomorphisms