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Meeting time distributions in Bernoulli systems
- Source :
- J. Phys. A: Math. Theor. 44 (2011) 375101
- Publication Year :
- 2011
-
Abstract
- Meeting time is defined as the time for which two orbits approach each other within distance $\epsilon$ in phase space. We show that the distribution of the meeting time is exponential in $(p_1,...,p_k)$-Bernoulli systems. In the limit of $\epsilon\to0$, the distribution converges to exp(-\alpha\tau), where $\tau$ is the meeting time normalized by the average. The exponent is shown to be $\alpha=\sum_{l=1}^{k}p_l(1-p_l)$ for the Bernoulli systems.<br />Comment: 14 pages, 5 figures
- Subjects :
- Nonlinear Sciences - Chaotic Dynamics
Subjects
Details
- Database :
- arXiv
- Journal :
- J. Phys. A: Math. Theor. 44 (2011) 375101
- Publication Type :
- Report
- Accession number :
- edsarx.1103.5816
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1751-8113/44/37/375101