%0 Journal Article %1 PhysRevLett.84.6002 %A Abel, M. %A Biferale, L. %A Cencini, M. %A Falcioni, M. %A Vergni, D. %A Vulpiani, A. %D 2000 %I American Physical Society %J Phys. Rev. Lett. %K cencini chaos complexity entropy exit-time %N 26 %P 6002--6005 %R 10.1103/PhysRevLett.84.6002 %T Exit-Time Approach to $\epsilon$-Entropy %V 84 %X An efficient approach to the calculation of the ε-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 ε, 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.

@article{PhysRevLett.84.6002, abstract = {An efficient approach to the calculation of the ε-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 ε, 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.}, added-at = {2007-10-05T00:24:00.000+0200}, author = {Abel, M. and Biferale, L. and Cencini, M. and Falcioni, M. and Vergni, D. and Vulpiani, A.}, biburl = {https://www.bibsonomy.org/bibtex/2945b60133ea1ac472b344634289dd555/mcencini}, description = {Phys. Rev. Lett. 84 (2000): M. Abel, L. Biferale, M. Cencini, M. Falcioni, D. Vergni, and A. Vulpiani - Exit-Time Approach to <span...}, doi = {10.1103/PhysRevLett.84.6002}, interhash = {95103e3c22ed2b46b069edce9d329ca9}, intrahash = {945b60133ea1ac472b344634289dd555}, journal = {Phys. Rev. Lett.}, keywords = {cencini chaos complexity entropy exit-time}, month = Jun, number = 26, numpages = {3}, pages = {6002--6005}, publisher = {American Physical Society}, timestamp = {2007-10-05T00:47:36.000+0200}, title = {Exit-Time Approach to $\epsilon{}$-Entropy}, volume = 84, year = 2000 }