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• W2084996401 abstract "A classification of the probability distribution of linear multiplicative noise equations is developed which has a variety of physical applications, for example, to the temperature field of a turbulent fluid undergoing a chemical reaction. Without a reaction the tails of the distribution are shown generically to have exponential or stretched exponential behavior. With a reaction occurring, the tails cross over to power-law behavior. A simple criterion in terms of the generalized Lyapunov exponents for the system explains this kind of behavior. Rigorous results for the existence of power-law tails under general symmetry conditions are presented and are easily understood in terms of generalized Lyapunov exponents." @default.
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• W2084996401 date "1993-12-01" @default.
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• W2084996401 title "Generic behavior in linear systems with multiplicative noise" @default.
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• W2084996401 doi "https://doi.org/10.1103/physreve.48.r4179" @default.
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