Ergodic baker's transformations
| dc.contributor.author | Bose, C. J. | |
| dc.contributor.author | Grzegorczyk, P. | |
| dc.date.accessioned | 2010-04-21T22:58:16Z | |
| dc.date.available | 2010-04-21T22:58:16Z | |
| dc.date.copyright | 1993 | en |
| dc.date.issued | 2010-04-21T22:58:16Z | |
| dc.description.abstract | Let T be a generalized baker's transformation on the unit square with cut function f. We show that if f is monotone non-increasing and bounded away from zero and one then T is ergodic. No topological conditions on f are assumed. Moreover, we prove in this case that T has a weak-Bernoulli generator. Both of these results follow from an exponential rate of contraction in variation by the related Perron-Frobenius operator. The connection between these results and similar facts for interval maps and g-measures is described | en |
| dc.description.sponsorship | NSERC Grant GP0046586 90 | en |
| dc.identifier.uri | http://hdl.handle.net/1828/2637 | |
| dc.language.iso | en | en |
| dc.relation.ispartofseries | DMS-639-IR | en |
| dc.subject | technical reports (mathematics and statistics) | |
| dc.subject.department | Department of Mathematics and Statistics | |
| dc.title | Ergodic baker's transformations | en |
| dc.type | Technical Report | en |