- Access by Xinjiang University
Propagation of extremes in space
Phys. Rev. E 80, 026201 – Published 6 August, 2009
DOI: https://doi.org/10.1103/PhysRevE.80.026201
Abstract
The propagation of extreme events in space is analyzed for a class of dynamical systems giving rise to spatiotemporal chaos. It is shown that this process can be mapped into a generalized random walk, whereby the mean square displacement increases linearly in time and there is a nonvanishing probability for jumps beyond first neighbors. The relative roles of the local dynamics and of the spatial coupling are identified.
Article Text
References (9)
- E. Montroll and W. Badger, Introduction to Quantitative Aspects of Social Phenomena (Gordon and Breach, New York, 1974).
- Climate Extremes and Society, edited by H. F. Diaz and R. J. Murnane (Cambridge University Press, Cambridge, 2008).
- P. Embrechts, P. Küppelberg, and T. Mikosch, Modeling Extremal Events (Springer, Berlin, 1999).
- C. Nicolis, V. Balakrishnan, and G. Nicolis, Phys. Rev. Lett. 97, 210602 (2006); C. Nicolis and S. C. Nicolis, Europhys. Lett. 80, 40003 (2007).
- K. Kaneko, Physica D 34, 1 (1989).
- V. Anishchenco, V. Astakhov, A. Neiman, T. Vadivasova, and L. Schimansky-Geier, Nonlinear Dynamics of Chaotic and Stochastic Systems (Springer, Berlin, 2002).
- E. Montroll and G. Weiss, J. Math. Phys. 6, 167 (1965).
- A. Papoulis, Probability and Statistics (Prentice-Hall, New Jersey, 1990).
- T. Geisel and S. Thomae, Phys. Rev. Lett. 52, 1936 (1984).