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Isotropic stochastic flows and a related property of non-random potential flows

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1203)

Abstract

Sections 1 and 2 summarize some of the results of [2] and [8] about isotropic stochastic flows and their stability properties. In Sections 3 and 4, stability properties of isotropic flows and certain stirring processes are related to a mean shrinkage property of a randomly chosen small segment in deterministic potential flow with compact support in R2 or R3.

Keywords

  • Lyapunov Exponent
  • Tangent Vector
  • Stability Property
  • Compact Manifold
  • Potential Flow

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References

  1. Baxendale, P. The Lyapunov spectrum of a stochastic flow of diffeomorphisms. Preprint, University of Aberdeen, Scotland.

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© 1986 Springer-Verlag

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Harris, T.E. (1986). Isotropic stochastic flows and a related property of non-random potential flows. In: Itô, K., Hida, T. (eds) Stochastic Processes and Their Applications. Lecture Notes in Mathematics, vol 1203. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076873

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  • DOI: https://doi.org/10.1007/BFb0076873

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16773-0

  • Online ISBN: 978-3-540-39852-3

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