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ACIMs for Non-Autonomous Discrete Time Dynamical Systems; A Generalization of Straube's Theorem

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ACIMs for Non-Autonomous Discrete Time Dynamical Systems; A Generalization of Straube's Theorem

Keefe, Christopher Dale (2018) ACIMs for Non-Autonomous Discrete Time Dynamical Systems; A Generalization of Straube's Theorem. Masters thesis, Concordia University.

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Abstract

This Master's thesis provides sufficient conditions under which a Non-Autonomous Dynamical System has an absolutely continuous invariant measure. The main results of this work are an extension of the Krylov-Bogoliubov theorem and Straube's theorem, both of which provide existence conditions for invariant measures of single transformation dynamical systems, to a uniformly convergent sequence of transformations of a compact metric space, which we define to be a non-autonomous dynamical system.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Thesis (Masters)
Authors:Keefe, Christopher Dale
Institution:Concordia University
Degree Name:M. Sc.
Program:Mathematics
Date:31 March 2018
Thesis Supervisor(s):Boyarsky, Abraham and Gora, Pawel
ID Code:983659
Deposited By: Christopher Keefe
Deposited On:11 Jun 2018 04:03
Last Modified:11 Jun 2018 04:03
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