Structure of groups of circle diffeomorphisms with the property of fixing nonexpandable points

DOI10.1007/s10688-012-0025-1zbMath1287.37026OpenAlexW2054041022MaRDI QIDQ366079

D. A. Filimonov, Victor Kleptsyn

Publication date: 11 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-012-0025-1

zbMATH Keywords

dynamical systemsgroup actionsThompson groupMarkov partitionscircle diffeomorphisms

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Nonsingular (and infinite-measure preserving) transformations (37A40)

Related Items (4)

On the ergodic theory of free group actions by real-analytic circle diffeomorphisms ⋮ Structure of groups of circle diffeomorphisms with the property of fixing nonexpandable points ⋮ Global rigidity of conjugations for locally non-discrete subgroups of \({\mathrm{Diff}}^{\omega} (S^1)\) ⋮ Lyapunov exponents and other properties of $N$-groups

Cites Work

• Structure of groups of circle diffeomorphisms with the property of fixing nonexpandable points
• Sur un groupe remarquable de difféomorphismes du cercle. (On a remarkable group of the diffeomorphisms of the circle)
• Foliations and subshifts
• Invariant measures for Markov maps of the interval
• Markov maps associated with Fuchsian groups
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• On one-dimensional dynamics in intermediary regularity
• On the question of ergodicity for minimal group actions on the circle
• Expanding endomorphisms of the circle revisited
• Ratio ergodic theorems for maps with indifferent fixed points
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