Islam, Md. Shafiqul (2000) Absolutely continuous invariant measures for piecewise linear interval maps both expanding and contracting. Masters thesis, Concordia University.
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Abstract
Let [Special characters omitted.] be a family of piecewise linear maps f : [-1,1] [arrow right] [-1,1] with a discontinuity at x = 0 such that f is expanding in one of the intervals (-1,0), (0,1) and contracting in the other. We will study the dynamics of maps of sub-classes of [Special characters omitted.] . It will be shown that a map in such a sub-class of [Special characters omitted.] either has a periodic attractor or is eventually expanding. In the latter case, there exists an absolutely continuous invariant measure (acim) and in many examples we will find the measure.
| Divisions: | Concordia University > Faculty of Arts and Science > Mathematics and Statistics |
|---|---|
| Item Type: | Thesis (Masters) |
| Authors: | Islam, Md. Shafiqul |
| Pagination: | v, 60 leaves ; 29 cm. |
| Institution: | Concordia University |
| Degree Name: | Theses (M.Sc.) |
| Program: | Mathematics and Statistics |
| Date: | 2000 |
| Thesis Supervisor(s): | Gora, Pawel |
| ID Code: | 1181 |
| Deposited By: | Concordia University Libraries |
| Deposited On: | 27 Aug 2009 13:17 |
| Last Modified: | 08 Dec 2010 10:19 |
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