Groups of interval exchange transformations
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Publication:2071254
DOI10.5802/wbln.27zbMath1489.37049OpenAlexW4200573548MaRDI QIDQ2071254
Publication date: 25 January 2022
Published in: Winter Braids Lecture Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5802/wbln.27
Subgroup theorems; subgroup growth (20E07) Dynamical systems involving maps of the interval (37E05) Dynamics in general topological spaces (37B02)
Cites Work
- Cantor systems, piecewise translations and simple amenable groups
- On codimension one foliations defined by closed one forms with singularities
- A simple proof of some ergodic theorems
- Continuous interval exchange actions
- A condition for minimal interval exchange maps to be uniquely ergodic
- Gauss measures for transformations on the space of interval exchange maps
- Interval exchange transformations and measured foliations
- Pseudogroups of isometries of \(\mathbb{R}\) and Rips' theorem on free actions on \(\mathbb{R}\)-trees
- On the commutator group of the group of interval exchange transformations
- Interval exchanges that do not occur in free groups
- Solvable groups of interval exchange transformations
- Discontinuity-growth of interval-exchange maps
- Distortion in groups of affine interval exchange transformations
- Free groups of interval exchange transformations are rare
- Weak mixing for interval exchange transformations and translation flows
- Subgroup of interval exchanges generated by torsion elements and rotations
- On algebraic properties of topological full groups
- Cellular Automata and Groups
- The Metric Theory of Interval Exchange Transformations III. The Sah-Arnoux-Fathi Invariant
- Extensive amenability and an application to interval exchanges
- APPROXIMATIONS IN ERGODIC THEORY
- Interval exchange transformations
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