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A Quasi Monte Carlo Approach to Piecewise Linear Markov Approximations of Markov Operators

Ding Jiu, Mao Dong and Zhou Aihui
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Ding Jiu: 1. Department of Mathematics, The University of Southern Mississippi, Hattiesburg, MS 39406-5045, USA.
Mao Dong: 2. Institute of Systems Science, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China.
Zhou Aihui: 3. Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China.

Monte Carlo Methods and Applications, 2003, vol. 9, issue 4, 295-309

Abstract: In this paper, we address the computational issue of approximating Markov operators which are widely used in the stochastic study of chaotic dynamical systems. We will concentrate on a quasi Monte Carlo implementation of piecewise linear Markov approximations that preserve the Markov structure.

Date: 2003
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DOI: 10.1515/156939603322601932

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