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Absolutely continuous invariant measures for random maps

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Absolutely continuous invariant measures for random maps

Bahsoun, Wael (2004) Absolutely continuous invariant measures for random maps. PhD thesis, Concordia University.

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Abstract

A random map is a discrete time dynamical system consisting of a collection of transformations which are selected randomly by means of probabilities at each iteration. We prove the existence of absolutely continuous invariant measures for different classes of position dependent random maps under mild conditions. Moreover, we prove that these measures are stable under small stochastic perturbations. We also apply these results to forecasting in financial markets.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Thesis (PhD)
Authors:Bahsoun, Wael
Pagination:vi, 94 leaves : ill. ; 29 cm.
Institution:Concordia University
Degree Name:Ph. D.
Program:Mathematics
Date:2004
Thesis Supervisor(s):Gora, Pawel
Identification Number:QA 325 B34 2004
ID Code:7952
Deposited By: Concordia University Library
Deposited On:18 Aug 2011 18:11
Last Modified:13 Jul 2020 20:02
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