Borel-Cantelli sequences

Details Borel-Cantelli sequences Borel-Cantelli sequences

2009-10-28

arxiv.org/abs/0910.5412v2

Mathematics

Dynamical Systems

20 pages. Some proofs clarified

Scientific paper

A sequence $\{x_{n}\}_1^\infty$ in $[0,1)$ is called Borel-Cantelli (BC) if for all non-increasing sequences of positive real numbers $\{a_n\}$ with $\underset{i=1}{\overset{\infty}{\sum}}a_i=\infty$ the set \[\underset{k=1}{\overset{\infty}{\cap}} \underset{n=k}{\overset{\infty}{\cup}} B(x_n, a_n))=\{x\in[0,1)\mid |x_n-x|

Affiliated with

Also associated with

No associations

Rating

Borel-Cantelli sequences 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 Borel-Cantelli sequences, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Borel-Cantelli sequences will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-718463