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The scaling of Arnol'd tongues for differentiable homeomorphisms of the circle

✍ Scribed by Leo B. Jonker


Publisher
Springer
Year
1990
Tongue
English
Weight
958 KB
Volume
129
Category
Article
ISSN
0010-3616

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The Lie Algebra of Homeomorphisms of the
✍ Feodor Malikov; R.C. Penner πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 707 KB

We define and study an infinite-dimensional Lie algebra homeo + which is shown to be naturally associated to the topological Lie group Homeo + of all orientationpreserving homeomorphisms of the circle. Roughly, we rely on the universal decorated Teichmu ller theory developed before as motivation to