Login | Register

Approximation of absolutely continuous invariant measures for Markov compositions of maps of an interval

Title:

Approximation of absolutely continuous invariant measures for Markov compositions of maps of an interval

Podder, Chandra Nath (2004) Approximation of absolutely continuous invariant measures for Markov compositions of maps of an interval. Masters thesis, Concordia University.

[img]
Preview
PDF - Accepted Version
1MB

Abstract

We study the approximation of absolutely continuous invariant measures of systems defined by random compositions of piecewise monotonic transformation (Lasota-Yorke maps). We discuss a generalization of Ulam's finite approximation conjecture to the situation where a family of piecewise monotonic transformations are composed according to a Markov law, and study an analogous convergence result. Also, we present bounds for the L 1 error of the Ulam's approximation.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Thesis (Masters)
Authors:Podder, Chandra Nath
Pagination:vi, 71 leaves ; 29 cm.
Institution:Concordia University
Degree Name:M.A.
Program:Mathematics and Statistics
Date:2004
Thesis Supervisor(s):Gora, Pawel
ID Code:8073
Deposited By: Concordia University Libraries
Deposited On:18 Aug 2011 18:14
Last Modified:18 Aug 2011 19:48
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

Downloads

Downloads per month over past year

Back to top Back to top