Podder, Chandra Nath (2004) Approximation of absolutely continuous invariant measures for Markov compositions of maps of an interval. Masters thesis, Concordia University.
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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 14:14 |
| Last Modified: | 18 Aug 2011 15:48 |
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