Rahman, Md. Hafizur (2019) Absolutely Continuous Invariant Measures for Piecewise Convex Maps of Interval with Infinite Number of Branches. Masters thesis, Concordia University.
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Abstract
The main result of this Master's thesis is the generalization of the existence of absolutely continuous invariant measure for piecewise convex maps of an interval from a case with the finite number of branches to one with infinitely many branches. We give a similar result for piecewise concave maps as well. We also provide examples of piecewise convex maps with a finite and infinite number of branches without ACIM.
| Divisions: | Concordia University > Faculty of Arts and Science > Mathematics and Statistics |
|---|---|
| Item Type: | Thesis (Masters) |
| Authors: | Rahman, Md. Hafizur |
| Institution: | Concordia University |
| Degree Name: | M. Sc. |
| Program: | Mathematics |
| Date: | 2 July 2019 |
| Thesis Supervisor(s): | Gora, Dr. Pawel and Boyarsky, Dr. Abraham |
| ID Code: | 985666 |
| Deposited By: | Md Rahman |
| Deposited On: | 15 Nov 2019 16:11 |
| Last Modified: | 15 Nov 2019 16:11 |
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