Julia sets for polynomial diffeomorphisms of \(\mathbb{C}^2\) are not semianalytic

DOI10.25537/DM.2019V24.163-173zbMath1435.37073arXiv1703.04168MaRDI QIDQ1738362

Kyounghee Kim, Eric Bedford

Publication date: 16 April 2019

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.04168

zbMATH Keywords

Julia setspolynomial diffeomorphismssemi-analytic sets

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) Higher-dimensional holomorphic and meromorphic dynamics (37F80)

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