An exit-time approach to $ε$-entropy

Details An exit-time approach to $ε$-entropy An exit-time approach to $ε$-entropy

1999-12-03

arxiv.org/abs/chao-dyn/9912007v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, revTex, 3 figures, submitted to PRL

Scientific paper

10.1103/PhysRevLett.84.6002

An efficient approach to the calculation of the $\epsilon$-entropy is proposed. The method is based on the idea of looking at the information content of a string of data, by analyzing the signal only at the instants when the fluctuations are larger than a certain threshold $\epsilon$, i.e., by looking at the exit-time statistics. The practical and theoretical advantages of our method with respect to the usual one are shown by the examples of a deterministic map and a self-affine stochastic process.

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