Stochastic accessibility on Grushin-type manifolds.

We consider a non-smooth Grushin-type distribution, defined on R n , 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. [ABSTRACT FROM AUTHOR]