Titlebook: Ergodic Theory, Open Dynamics, and Coherent Structures; Wael Bahsoun,Christopher Bose,Gary Froyland Conference proceedings 2014 Springer S

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Conclusion: In the Spirit of Sankofa,For piecewise real analytic expanding Markov maps with Markov hole, it is shown that the escape rate and corresponding escape measure can be rapidly approximated using periodic points.

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袖章

https://doi.org/10.1057/978-1-137-59077-0We consider open systems generated from one-dimensional maps that admit a finite Markov partition and use the recently developed theory of isospectral graph transformations to estimate a system’s survival probabilities. We show that these estimates are better than those obtained through a more direct approach.

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https://doi.org/10.1057/9780230623200In the framework of abstract ergodic probability-preserving transformations, we prove that the limiting return-time statistics and hitting-time statistics persist if we pass from the original system to a first-return map and vice versa.

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POWER

Periodic Points, Escape Rates and Escape Measures,For piecewise real analytic expanding Markov maps with Markov hole, it is shown that the escape rate and corresponding escape measure can be rapidly approximated using periodic points.

警告

Lebesgue Ergodicity of a Dissipative Subtractive Algorithm,We prove Lebesgue ergodicity and exactness of a certain dissipative 2-dimensional subtractive algorithm, completing a partial answer by Fokkink et al. to a question by Schweiger. This implies for Meester’s subtractive algorithm in dimension . that there are . ? 2 parameters which completely determine the ergodic decomposition of Lebesgue measure.

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撕裂皮肉

Ergodic Theory, Open Dynamics, and Coherent Structures