Absorbing sets of homogeneous subtractive algorithms

Details Absorbing sets of homogeneous subtractive algorithms Absorbing sets of homogeneous subtractive algorithms

2011-04-19

arxiv.org/abs/1104.3762v1

Mathematics

Dynamical Systems

Scientific paper

We consider homogeneous multidimensional continued fraction algorithms, in particular a family of maps which was introduced by F. Schweiger. We prove his conjecture regarding the existence of an absorbing set for those maps. We also establish that their renormalisations are nonergodic which disproves another conjecture due to Schweiger. Other homogeneous algorithms are also analysed including ones which are ergodic.

Affiliated with

Also associated with

No associations

Rating

Absorbing sets of homogeneous subtractive algorithms 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 Absorbing sets of homogeneous subtractive algorithms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Absorbing sets of homogeneous subtractive algorithms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-183343