Constructive Approximations of Markov Operators

Document Type

Article

Publication Date

12-1-2001

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

We construct piecewise linear Markov finite approximations of Markov operators defined on L-1([0, 1](N)) and we study various properties, such as consistency, stability, and convergence, for the purpose of numerical analysis of Markov operators.

Publication Title

Journal of Statistical Physics

Volume

105

Issue

5-6

First Page

863

Last Page

878

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