Breadcrumb

 
 

Absolutely continuous invariant measures for piecewise linear interval maps both expanding and contracting

Title:

Absolutely continuous invariant measures for piecewise linear interval maps both expanding and contracting

Islam, Md. Shafiqul (2000) Absolutely continuous invariant measures for piecewise linear interval maps both expanding and contracting. Masters thesis, Concordia University.

[img]
Preview
PDF
1472Kb

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
Related URLs:
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

Document Downloads

More statistics for this item...

Concordia University - Footer