Statistics of multiple sign changes in a discrete non-Markovian sequence

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 65, Issue 3, 2002, Pages

  Majumdar, Satya N ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FUNCTIONS; MATHEMATICAL MODELS; NUMERICAL METHODS; PROBABILITY; SPIN GLASS; STATISTICAL MECHANICS;

DISCRETE NON-MARKOVIAN SEQUENCES; INDEPENDENT INTERVAL APPROXIMATION; ISING; PERSISTENCE;

RANDOM PROCESSES;

EID: 41349083712     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.035104     Document Type: Article

References (17)

1. I.F. Blake and W.C. Lindsay, IEEE Trans. Inf. Theory 19, 295 (1973).
2. D. Slepian, Bell Syst. Tech. J. 23, 282 (1944).
3. For a recent review on persistence, see S.N. Majumdar, Curr. Sci. 77, 370 (1999).
4. S.O. Rice, Bell Syst. Tech. J. 23, 282 (1944);
5. Bell Syst. Tech. J.S.O. Rice24, 46 (1945).
6. J.S. Bendat, Principles and Applications of Random Noise Theory (Wiley, New York, 1958). See also Ref. 1.
7. S.N. Majumdar and A.J. Bray, Phys. Rev. Lett. 81, 2626 (1998).
8. T.W. Burkhardt, Phys. Rev. E 63, 011111 (2000).
9. G. De Smedt, C. Godreche, and J.M. Luck, Europhys. Lett. 53, 438 (2001).
10. S.N. Majumdar, A.J. Bray, and G.C.M.A. Ehrhardt, Phys. Rev. E 64, 015101R (2001).
11. S.N. Majumdar and D. Dhar, Phys. Rev. E 64, 046123 (2001).
12. G.C.M.A. Ehrhardt and A.J. Bray, e-print cond-mat/0109526.
13. B. Derrida and E. Gardner, J. Phys. (Paris) 47, 959 (1986).
14. B. Derrida and J.L. Lebowitz, Phys. Rev. Lett. 80, 209 (1998).
15. A. Baldassarri, J.P. Bouchaud, I. Dornic, and C. Godrèche, Phys. Rev. E 59, R20 (1999);
16. I. Dornic, A. Lemaître, A. Baldassarri, and H. Chaté, J. Phys. A 33, 7499 (2000);
17. C. Godrèche and J.M. Luck, J. Stat. Phys. 104, 489 (2001).