Isomorphisms between positive and negative beta-transformations

Details Isomorphisms between positive and negative beta-transformations Isomorphisms between positive and negative beta-transformations

2012-03-21

arxiv.org/abs/1203.4695v1

Mathematics

Dynamical Systems

18 pages, 8 figures

Scientific paper

We compare a piecewise linear map with constant slope beta>1 and a piecewise linear map with constant slope -beta. These maps are called the positive and negative beta-transformations. We show that for a certain set of beta's, the multinacci numbers, there exists a measurable isomorphism between these two maps. We further show that for for all other values of beta between 1 and 2 the two maps cannot be isomorphic.

Affiliated with

Also associated with

No associations

Rating

Isomorphisms between positive and negative beta-transformations 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 Isomorphisms between positive and negative beta-transformations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Isomorphisms between positive and negative beta-transformations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-488446