Fatou Set is the maximal open subset of the complex plane where the iterates of a holomorphic dynamical system form a normal family, distinguishing it from the Julia Set by exhibiting stable and predictable long-term behavior under iteration.
180
Publications
7.5K
Citations
206
Authors
140
Institutions
Publications per year
2017–2026
14
Variants
Fatou Set
Parents
Publications
180
Iteration of Meromorphic Functions
1993 · 515 citations · Full text
Iteration of meromorphic functions
Bulletin of the American Mathematical Society · 1993 · 410 citations · Full text
John L. Lewis · Transactions of the American Mathematical Society · 1988 · 181 citations · Full text
1–5 of 180
Authors
206
- PD
6
h-index
- JZ
5
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- IN
4
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- NG
4
h-index
- FX
4
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1–5 of 206
Institutions
140
The Open University
Milton Keynes, United Kingdom
10 h-index
14 publications
577 citations
Christian-Albrechts-Universität zu Kiel
Kiel, Germany
6 h-index
6 publications
127 citations
Tsinghua University
Beijing, China
5 h-index
8 publications
224 citations
Universitat de Barcelona
Barcelona, Spain
5 h-index
9 publications
133 citations
National University of Singapore
Singapore, Singapore
4 h-index
4 publications
142 citations
University of Illinois Urbana-Champaign
Urbana, United States
4 h-index
5 publications
207 citations
Institute of Mathematics
Warsaw, Poland
4 h-index
4 publications
73 citations
Imperial College London
London, United Kingdom
4 h-index
6 publications
236 citations
1–8 of 140
Venues
- Ergodic Theory and Dynamical Systems
12 publications · 375 citations
12
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- Transactions of the American Mathematical Society
TRAN · 8 publications · 414 citations
8
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- Journal of the London Mathematical Society
6 publications · 115 citations
6
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- Proceedings of the London Mathematical Society
6 publications · 312 citations
6
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- Complex Variables Theory and Application An International Journal
5 publications · 138 citations
5
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1–5