| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1892950 | Chaos, Solitons & Fractals | 2011 | 13 Pages |
Abstract
Some basic facts of infinite ergodic theory are reviewed in a form suitable to be applied to interval maps with number theoretic significance such as the Farey map. This is an enlarged version of the lecture notes accompanying a short course on Infinite Ergodic Theory at the First meeting of the (mostly) young italian hyperbolicians (Corinaldo, Italy, June 8–12, 2009).
► Systems preserving an infinite measure need new indicators such as the wandering rate. ► Coping wild behaviour of the ergodic sums with very good sets and universal sequences. ► Applications to Farey map and slow convergents in continued fractions theory.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Stefano Isola,