Exit-Time Approach to ε-Entropy

Physical Review Letters

Volumn 84, Issue 26, 2000, Pages 6002-6005

  Abel, M ^a   Biferale, L ^b   Cencini, M ^a   Falcioni, M ^a   Vergni, D ^a   Vulpiani, A ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b UNIVERSITY OF ROME TOR VERGATA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE;

CHAOS THEORY; COMPUTATIONAL COMPLEXITY; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; TIME SERIES ANALYSIS;

EXIT-TIME STATISTICS;

NATURAL SCIENCES COMPUTING;

EID: 0342520909     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.84.6002     Document Type: Article

References (18)

1. R. Badii and A. Politi: Complexity. Hierarchical Structures and Scaling in Physics (Cambridge University Press, Cambridge, England, 1997).
2. P. Gaspard and X.-J. Wang: Phys. Rep. 235, 291 (1993).
3. H. Kantz and T. Schreiber: Nonlinear Time Series Analysis (Cambridge University Press, Cambridge, England, 1997).
4. C. E. Shannon and W. Weaver: The Mathematical Theory of Communication (University of Illinois Press, Urbana, Illinois, 1949).
5. A. N. Kolmogorov: Dokl. Akad. Nauk SSSR 119, 861 (1958).
6. P. Grassberger and I. Procaccia: Phys. Rev. Lett. 50, 346 (1983);
7. A. Cohen and I. Procaccia: Phys. Rev. A 31, 1872 (1985).
8. A. N. Kolmogorov: IRE Trans. Inf. Theory 1, 102 (1956);
9. I. M. Gelfand, A. N. Kolmogorov and A. M. Yaglom, in Selected Works of A.N. Kolmogorov, A. N. Shiryeyev (Kluwer Academic, Dordrecht, 1993), Vol. III, p. 33.
10. E. Aurell, G. Boffetta, A. Crisanti, G. Paladin, and A. Vulpiani: Phys. Rev. Lett. 77, 1262 (1996);
11. E. Aurell, G. Boffetta, A. Crisanti, G. Paladin A. Vulpiani: J. Phys. A 30, 1 (1997).
12. M. Farge: Annu. Rev. Fluid Mech. 72, 395 (1992).
13. J. P. Eckmann and D. Ruelle: Rev. Mod. Phys. 57, 617 (1985);
14. P. Billingsley: Ergodic Theory and Information (Wiley, New York, 1965).
15. M. Schell, S. Fraser, and R. Kapral: Phys. Rev. A 26, 504 (1982).
16. A. I. Khinchin: Mathematical Foundations of Information Theory (Dover, New York, 1957).
17. L. Biferale, G. Boffetta, A. Celani, A. Crisanti, and A. Vulpiani: Phys. Rev. E 57, R6261 (1998).
18. C. Tsallis: J. Stat. Phys. 52, 479 (1988).