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Stochastic accessibility on Grushin-type manifolds

Author

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  • Ţurcanu, Teodor
  • Udrişte, Constantin

Abstract

We consider a non-smooth Grushin-type distribution, defined on Rn, whose stochastic perturbation defines the admissible stochastic processes. Our main result is a stochastic accessibility theorem on the corresponding Grushin manifold. More specifically, given two points P and Q, we show how to steer an admissible stochastic processes, starting at P, such that it strikes an arbitrarily small ball centered at Q, asymptotically almost surely.

Suggested Citation

  • Ţurcanu, Teodor & Udrişte, Constantin, 2017. "Stochastic accessibility on Grushin-type manifolds," Statistics & Probability Letters, Elsevier, vol. 125(C), pages 196-201.
    • Handle: RePEc:eee:stapro:v:125:y:2017:i:c:p:196-201
    DOI: 10.1016/j.spl.2017.02.009
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