Keefe, Christopher Dale (2018) ACIMs for Non-Autonomous Discrete Time Dynamical Systems; A Generalization of Straube's Theorem. Masters thesis, Concordia University.
Preview |
Text (application/pdf)
237kBKeefe_MSc_S2018 May 13 PDF A.pdf - Accepted Version Available under License Spectrum Terms of Access. |
Abstract
This Master's thesis provides sufficient conditions under which a Non-Autonomous Dynamical System has an absolutely continuous invariant measure. The main results of this work are an extension of the Krylov-Bogoliubov theorem and Straube's theorem, both of which provide existence conditions for invariant measures of single transformation dynamical systems, to a uniformly convergent sequence of transformations of a compact metric space, which we define to be a non-autonomous dynamical system.
| Divisions: | Concordia University > Faculty of Arts and Science > Mathematics and Statistics |
|---|---|
| Item Type: | Thesis (Masters) |
| Authors: | Keefe, Christopher Dale |
| Institution: | Concordia University |
| Degree Name: | M. Sc. |
| Program: | Mathematics |
| Date: | 31 March 2018 |
| Thesis Supervisor(s): | Boyarsky, Abraham and Gora, Pawel |
| ID Code: | 983659 |
| Deposited By: | Christopher Keefe |
| Deposited On: | 11 Jun 2018 04:03 |
| Last Modified: | 11 Jun 2018 04:03 |
All items in Spectrum are protected by copyright, with all rights reserved. The use of items is governed by Spectrum's terms of access.
Repository Staff Only: item control page
Download Statistics
Download Statistics