Podder, Chandra Nath (2004) Approximation of absolutely continuous invariant measures for Markov compositions of maps of an interval. Masters thesis, Concordia University.
|PDF - Accepted Version|
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.|
|Program:||Mathematics and Statistics|
|Thesis Supervisor(s):||Gora, Pawel|
|Deposited By:||Concordia University Libraries|
|Deposited On:||18 Aug 2011 14:14|
|Last Modified:||18 Aug 2011 15:48|
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