Groups of Circle Diffeomorphisms
By Andrés Navas. 2006
232 citations recorded by the source corpus.
Group actions are an efficient way of describing symmetries in objects by defining the essential elements of a given object as a set. The symmetries of the object are then defined as the symmetry group of this set. "Groups of Circle Diffeomorphisms" explores group actions on the simplest closed manifold, the circle. This text will be of interest to those doing research in several branches of mathematics, including dynamical systems, low-dimensional geometry and topology, and mathematical physics.
Subfields: Astronomy and Astrophysics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/df9782b242294ba2cfb9bd03876bf8c27d930807
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In Astronomy and Astrophysics
In Statistical and Nonlinear Physics
Citations in the corpus
- Milnor's Problem on the Growth of Groups and its Consequences (2011, background): “These include the following sources [219, 179, 91, 51, 113] We especially recommend the book of P.”
- GROUP ACTIONS ON 1-MANIFOLDS: A LIST OF VERY CONCRETE OPEN QUESTIONS (2017, background): “It is not hard to extend Ghys-Tsuboi’s theorem to (bi-)Lipschitz conjugacies [105, 110].”