On a Gauss-Kuzmin Type Problem for a Family of Continued Fractions

Details On a Gauss-Kuzmin Type Problem for a Family of Continued Fractions On a Gauss-Kuzmin Type Problem for a Family of Continued Fractions

2010-10-23

arxiv.org/abs/1010.4864v1

Mathematics

Number Theory

15 pages, Chapter 4 of my PhD thesis

Scientific paper

We study a family of continued fraction expansion of reals from the unit interval. The Perron-Frobenius operator of the transformation which generates this expansion under the invariant measure of this transformation is given. Using the ergodic behavior of homogeneous random system with complete connections associated with this expansion we solve a variant of Gauss-Kuzmin problem for this continued fraction expansion.

Affiliated with

Also associated with

No associations

Rating

On a Gauss-Kuzmin Type Problem for a Family of Continued Fractions 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 a Gauss-Kuzmin Type Problem for a Family of Continued Fractions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a Gauss-Kuzmin Type Problem for a Family of Continued Fractions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-115710