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Asymptotic Curvature for Stochastic Dynamical Systems

In: Stochastic Dynamics

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  • Michael Cranston
  • Yves Le Jan

Abstract

In terms of the characteristic exponents, we provide conditions under which the second fundamental form describing the second order approximation of the image of a submanifold of the Euclidean space behaves asymptotically under the effect of a random dynamical system with independent increments as a positive recurrent Markov process.

Suggested Citation

  • Michael Cranston & Yves Le Jan, 1999. "Asymptotic Curvature for Stochastic Dynamical Systems," Springer Books, in: Stochastic Dynamics, chapter 14, pages 327-338, Springer.
    • Handle: RePEc:spr:sprchp:978-0-387-22655-2_14
    DOI: 10.1007/0-387-22655-9_14
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