Polynomial decay of correlations for generalized baker’s transformations via anisotropic Banach spaces methods and operator renewal theory
| dc.contributor.author | Chart, Seth William | |
| dc.contributor.supervisor | Bose, Christopher | |
| dc.date.accessioned | 2016-05-02T14:53:00Z | |
| dc.date.available | 2016-05-02T14:53:00Z | |
| dc.date.copyright | 2016 | en_US |
| dc.date.issued | 2016-05-02 | |
| dc.degree.department | Department of Mathematics and Statistics | en_US |
| dc.degree.level | Doctor of Philosophy Ph.D. | en_US |
| dc.description.abstract | We apply anisotropic Banach space methods together with operator renewal theory to obtain polynomial rates of decay of correlations for a class of generalized baker's transformations. The polynomial rates were proved for a smaller class of observables in a 2013 paper of Bose and Murray by fundamentally different methods. Our approach provides a direct analysis of the Frobenius-Perron operator associated to a generalized baker's transformation in contrast to the paper of Bose and Murray where decay rates are obtained for a factor map and lifted to the full map. | en_US |
| dc.description.scholarlevel | Graduate | en_US |
| dc.identifier.uri | http://hdl.handle.net/1828/7242 | |
| dc.language | English | eng |
| dc.language.iso | en | en_US |
| dc.rights | Available to the World Wide Web | en_US |
| dc.subject | Smooth Ergodic Theory | en_US |
| dc.subject | Decay of Correlations | en_US |
| dc.subject | Generalized Baker's Transformations | en_US |
| dc.subject | Dynamical Systems | en_US |
| dc.title | Polynomial decay of correlations for generalized baker’s transformations via anisotropic Banach spaces methods and operator renewal theory | en_US |
| dc.type | Thesis | en_US |