Extending local analytic conjugacies
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Publication:3082358
DOI10.1090/S0002-9947-2010-05049-4zbMath1211.37054MaRDI QIDQ3082358
Publication date: 10 March 2011
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Germs of analytic sets, local parametrization (32B10) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)
Related Items (6)
On semiconjugate rational functions ⋮ Finiteness theorems for commuting and semiconjugate rational functions ⋮ Diabolical entropy ⋮ Algebraic independence of local conjugacies and related questions in polynomial dynamics ⋮ Discontinuity of Straightening in Anti-holomorphic Dynamics: I ⋮ When do two rational functions have locally biholomorphic Julia sets?
Cites Work
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- Combinatorics and topology of straightening maps. I: Compactness and bijectivity
- Bivariate factorizations via Galois theory, with application to exceptional polynomials
- Regular and limit sets for holomorphic correspondences
- From local to global analytic conjugacies
- On the dynamics of polynomial-like mappings
- Polynomial Substitutions
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