Islam, Md. Shafiqul (2000) Absolutely continuous invariant measures for piecewise linear interval maps both expanding and contracting. Masters thesis, Concordia University.
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.|
|Degree Name:||Theses (M.Sc.)|
|Program:||Mathematics and Statistics|
|Thesis Supervisor(s):||Gora, Pawel|
|Deposited By:||Concordia University Libraries|
|Deposited On:||27 Aug 2009 17:17|
|Last Modified:||08 Dec 2010 15:19|
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