An exit-time approach to $\epsilon$-entropy
chao-dyn
2009-10-31 v1 Chaotic Dynamics
Abstract
An efficient approach to the calculation of the -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 , 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.
Cite
@article{arxiv.chao-dyn/9912007,
title = {An exit-time approach to $\epsilon$-entropy},
author = {M. Abel and L. Biferale and M. Cencini and M. Falcioni and D. Vergni and A. Vulpiani},
journal= {arXiv preprint arXiv:chao-dyn/9912007},
year = {2009}
}
Comments
4 pages, revTex, 3 figures, submitted to PRL