%0 Journal Article
%T Attractivity, invariance and ergodicity for SDEs on Riemannian manifolds
%A Lubomir Banas
%A Zdzislaw Brzezniak
%A Martin Ondrejat
%A Andreas Prohl
%J Mathematics
%D 2011
%I arXiv
%X We give a sufficient condition on nonlinearities of an SDE on a compact connected Riemannian manifold $M$ which implies that laws of all solutions converge weakly to the normalized Riemannian volume measure on $M$. This result is further applied to characterize invariant and ergodic measures for various SDEs on manifolds.
%U http://arxiv.org/abs/1102.0728v1