Another construction of a Cantor bouquet at a fixed indeterminate point

DOI10.1215/0023608X-2009-010zbMath1244.37031MaRDI QIDQ974794

Tomoko Shinohara

Publication date: 7 June 2010

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

holomorphic mapsCantor bouquetCantor setrational curve

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Related Items (1)

Böttcher coordinates at fixed indeterminacy points

Cites Work

• Unnamed Item
• On the local convergence of Newton's method to a multiple root
• On the dynamics near infinity of some polynomial mappings in \(\mathbb C^2\)
• Cantor bouquet of holomorphic stable manifolds for a periodic indeterminate point
• Dynamics of birational maps of P^2

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