Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4673234 | Indagationes Mathematicae | 2007 | 14 Pages |
Abstract
We investigate the connection between the dynamical Borel-Cantelli and waiting time results. We prove that if a system has the dynamical Borel-Cantelli property, then the time needed to enter for the first time in a sequence of small balls scales as the inverse of the measure of the balls. Conversely if we know the waiting time behavior of a system we can prove that certain sequences of decreasing balls satisfies the Borel-Cantelli property. This allows to obtain Borel-Cantelli like results in systems like axiom A and generic interval exchanges.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)