Discontinuity growth of interval exchange maps

Details Discontinuity growth of interval exchange maps Discontinuity growth of interval exchange maps

2008-11-06

arxiv.org/abs/0811.1014v1

Mathematics

Dynamical Systems

32 pages, 5 figures

Scientific paper

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 exchanges does not contain distortion elements, giving examples of groups that do not act faithfully via interval exchanges. As a further application of this dichotomy, a classification of centralizers in the group of interval exchanges is given. This classification of centralizers is used to compute the automorphism group of the interval exchange group.

Affiliated with

Also associated with

No associations

Rating

Discontinuity growth of interval exchange maps does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Discontinuity growth of interval exchange maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Discontinuity growth of interval exchange maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-631284