Another proof for the equivalence between invariance of closed sets with respect to stochastic and deterministic systems
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We provide a short and elementary proof for the recently proved result by G. da Prato and H. Frankowska that -- under minimal assumptions -- a closed set is invariant with respect to a stochastic control system if and only if it is invariant with respect to the (associated) deterministic control system.
revised version for publication in Bulletin des Sciences Mathematiques
revised version for publication in Bulletin des Sciences Mathematiques