Periodic points on the boundaries of rotation domains of some rational functions
zbMath1454.37046MaRDI QIDQ2446417
Publication date: 16 April 2014
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.ojm/1396966233
Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Meromorphic mappings in several complex variables (32H04) Meromorphic functions of several complex variables (32A20) Holomorphic functions of several complex variables (32A10) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)
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Cites Work
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- Siegel disks with smooth boundaries
- The boundary of bounded polynomial Fatou components
- On biaccessible points in the Julia sets of some rational functions
- Are there critical points on the boundaries of singular domains?
- Local connectivity of some Julia sets containing a circle with an irrational rotation
- Accessible fixed points on the boundary of stable domains
- Fixed points and circle maps
- On the Julia set of a typical quadratic polynomial with a Siegel disk
- Local connectivity of the Julia set for geometrically finite rational maps
- Some rational maps whose Julia sets are not locally connected
- On a theorem of Fatou
- Frontiers in complex dynamics
- On biaccessible points in the Julia set of a Cremer quadratic polynomial
- Biaccessibility in quadratic Julia sets
- Any counterexample to Makienko’s conjecture is an indecomposable continuum
- Dynamics in One Complex Variable. (AM-160)
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