Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms. II: Applications.
DOI10.4171/cmh/562arXiv2104.03348OpenAlexW4389295784MaRDI QIDQ6184617
Victor Kleptsyn, Carlos Meniño Cotón, Sébastien Alvarez, Dmitry Filimonov, Pablo G. Barrientos, Michele Triestino, Dominique Malicet
Publication date: 25 January 2024
Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.03348
rotation numbervirtually free groupsBass-Serre theorypiecewise-linear mapsgroups acting on the circleping-ponglocally discrete groupsmulticonvergence property
Dynamical systems involving maps of the circle (37E10) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Rotation numbers and vectors (37E45) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Groups of real analytic diffeomorphisms of the circle with a finite image under the rotation number function
- Classe d'Euler et minimal exceptionnel
- Sur un groupe remarquable de difféomorphismes du cercle. (On a remarkable group of the diffeomorphisms of the circle)
- Codimension one foliations of closed manifolds
- Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
- Convergence groups and Seifert fibered 3-manifolds
- Introductory notes on Richard Thompson's groups
- Groups acting on the circle.
- Flexibility of group actions on the circle
- On the ergodic theory of free group actions by real-analytic circle diffeomorphisms
- Book review of: É. Ghys, A singular mathematical promenade
- Ping-pong configurations and circular orders on free groups
- Global rigidity of conjugations for locally non-discrete subgroups of \({\mathrm{Diff}}^{\omega} (S^1)\)
- Small \(C^1\) actions of semidirect products on compact manifolds
- On Groups of PL-homeomorphisms of the Real Line
- Homeomorphic conjugates of Fuchsian groups.
- Ergodicity and rigidity for certain subgroups of Diffω(S1)
- GROUP ACTIONS ON 1-MANIFOLDS: A LIST OF VERY CONCRETE OPEN QUESTIONS
- Locally discrete expanding groups of analytic diffeomorphisms of the circle
- One-end finitely presented groups acting on the circle
- Groups with infinitely many ends acting analytically on the circle
- Convergence groups are Fuchsian groups
This page was built for publication: Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms. II: Applications.