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math.DS2010★ 2 cited
Interval exchanges that do not embed in free groups
Christopher F. Novak
A disjoint rotation map is an interval exchange transformation (IET) on the unit interval that acts by rotation on a finite number of invariant subintervals. It is currently unknow…
math.DS2010★ 2 cited
Continuous Interval Exchange Actions
Christopher F. Novak
Let E denote the group of all interval exchange transformations on [0,1). Given a suitable topological group structure on E, it is possible to classify all one-parameter interval e…
math.DS2008
Discontinuity growth of interval exchange maps
Christopher F. Novak
For an interval exchange map, the number of discontinuities of its iterates either exhibits linear growth or is bounded. This dichotomy is used to prove that the group of interval…