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Clustering of a positive random field as a law of nature

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Abstract

In parametrically excited stochastic dynamical systems, spatial structures can form with probability one (clustering) in almost every realization because of rare events occurring with a probability that tends to zero. Such problems occur in hydrodynamics, magnetohydrodynamics, plasma physics, astrophysics, and radiophysics.

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Authors and Affiliations

  1. Obukhov Institute for Physics of the Atmosphere, RAS, Moscow, Russia

    V. I. Klyatskin

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  1. V. I. Klyatskin
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Correspondence to V. I. Klyatskin.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 176, No. 3, pp. 494–512, September 2013.

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Klyatskin, V.I. Clustering of a positive random field as a law of nature. Theor Math Phys 176, 1252–1266 (2013). https://doi.org/10.1007/s11232-013-0104-3

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  • DOI: https://doi.org/10.1007/s11232-013-0104-3

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