On the Gibbs properties of Bernoulli convolutions related to $β$-numeration in multinacci bases

Details On the Gibbs properties of Bernoulli convolutions related to $β$-numeration in multinacci bases On the Gibbs properties of Bernoulli convolutions related to $β$-numeration in multinacci bases

2004-11-12

arxiv.org/abs/math/0411278v1

Mathematics

Number Theory

39 pages, 5 figures; to appear in Monatsh. Math

Scientific paper

We consider infinitely convolved Bernoulli measures (or simply Bernoulli convolutions) related to the $\beta$-numeration. A matrix decomposition of these measures is obtained in the case when $\beta$ is a PV number. We also determine their Gibbs properties for $\beta$ being a multinacci number, which makes the multifractal analysis of the corresponding Bernoulli convolution possible.

Affiliated with

Also associated with

No associations

Rating

On the Gibbs properties of Bernoulli convolutions related to $β$-numeration in multinacci bases 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 On the Gibbs properties of Bernoulli convolutions related to $β$-numeration in multinacci bases, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Gibbs properties of Bernoulli convolutions related to $β$-numeration in multinacci bases will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-87569