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• W2340960713 abstract "Statistical properties of chaotic dynamical systems are dif­ ficult to estimate reliably. Using long trajectories as data sets sometimes produces misleading results. It has been recognized for some time that sta­ tistical properties are often stable under the addition of a small amount of noise. Rather than analyzing the dynamical system directly, we slightly perturb it to create a Markov model. The analogous statistical properties of the Markov model often have closed forms and are easily computed numerically. The Markov construction is observed to provide extremely ro­ bust estimates and has the theoretical advantage of allowing one to prove convergence in the noise -+ 0 limit and produce rigorous error bounds for statistical quantities. We review the latest results and techniques in this area." @default.
• W2340960713 created "2016-06-24" @default.
• W2340960713 creator A5016233400 @default.
• W2340960713 date "2001-01-01" @default.
• W2340960713 modified "2023-09-23" @default.
• W2340960713 title "Chapter 12 Extracting Dynamical Behavior via Markov Models" @default.
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• W2340960713 hasPublicationYear "2001" @default.
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