Oscillatory correlation of delayed random walks

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

Volumn 55, Issue 2, 1997, Pages R1255-R1258

  Ohira, Toru ^a  

^a SONY COMPUTER SCIENCE LABORATORIES INC   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000157099     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.R1255     Document Type: Article

References (14)

1. H. Mori, Prog. Theor. Phys. PTPKAV33, 423(1965).
2. Y. Okabe, J. Stat. Phys. JSTPBS45, 953(1986).
3. M. A. Despósito and E. S. Hernández, J. Phys. A JPHAC528, 775(1995).
4. J R. Brinati, S. S. Mizrahi, and G. A. Prataviera, Phys. Rev. APLRAAN 52, 2804(1995).
5. K L. Cooke and Z. Grossman, J. Math. Anal. Appl.JMANAK86, 592(1982).
6. C M. Marcus and R. M. Westervelt, Phys. Rev. A PLRAAN39, 347(1989).
7. J. Losson, M. C. Mackey, and A. Longtin, CHAOS CHAOEH3167(1993).
8. U. Küchler and B. Mensch, Stoch. Stoch. Rep. SSTREX40, 23(1992).
9. T. Ohira and J. G. Milton, Phys. Rev. E. PLEEE852, 3277(1995).
10. T. Ohira, Sony Computer Science Laboratory Technical Report No. SCSL-TR-96-010, 1996 (unpublished).
11. G H. Weiss, Aspects and Applications of the Random Walk (North-Holland, Amsterdam, 1994).
12. Details will be shown elsewhere; T. Ohira, Sony Computer Science Laboratory Technical Report No. SCSL-TR-96-015, 1996 (unpublished).
13. This restriction for f(x) and g(x) to be linearly dependent on x is necessary for the following analytical treatment for the correlation function.
14. H. Funakubo, Y. Kashimori, and T. Kambara, in Progress in Neural Information Processing: Proceedings of the International Conference on Neural Information Processings, Hong Kong (Springer, Berlin, 1996), Vol. 1.