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Functional central limit theorem for flows generated by stochastic equations with interaction

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Nonlinear Oscillations

Abstract

For flows that describe the motion of interacting particles in a random medium, we show the existence of a stationary solution. For this solution, we prove a functional central limit theorem.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. Yu. Pilipenko

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  1. A. Yu. Pilipenko
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Translated from Neliniini Kolyvannya, Vol. 9, No. 1, pp. 85–97, January–March, 2006.

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Pilipenko, A.Y. Functional central limit theorem for flows generated by stochastic equations with interaction. Nonlinear Oscill 9, 83–95 (2006). https://doi.org/10.1007/s11072-006-0027-0

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  • DOI: https://doi.org/10.1007/s11072-006-0027-0

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