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Solutions of the Inverse Frobenius-Perron Problem

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Solutions of the Inverse Frobenius-Perron Problem

Wei, Nijun (2015) Solutions of the Inverse Frobenius-Perron Problem. Masters thesis, Concordia University.

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Abstract

The Frobenius-Perron operator describes the evolution of density functions in a dynamical system. Finding the �fixed points of this operator is referred to as the Frobenius-Perron problem. This thesis discusses the inverse Frobenius-Perron problem (IFPP), which seeks the transformation that generates a prescribed invariant probability density. In particular, we present in detail five different ways of solving the IFPP, including approaches using conjugation and differential equation, and two matrix solutions. We also generalize Pingel's method to the case of two-pieces maps.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Thesis (Masters)
Authors:Wei, Nijun
Institution:Concordia University
Degree Name:M. Sc.
Program:Mathematics
Date:14 July 2015
Thesis Supervisor(s):Gora, P and Boyarsky, A
ID Code:980195
Deposited By: NIJUN WEI
Deposited On:04 Nov 2015 20:31
Last Modified:18 Jan 2018 17:50
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