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A succesful method to describe the asymptotic behavior of a discrete time stochastic process governed by some recursive formula is to relate it to the limit sets of a well chosen mean differential equation. Under an attainability condition, convergence to a given attractor of the flow induced by this dynamical system was proved to occur with positive probability (Bena\"im, 1999) for a class of Robbins Monro algorithms. Bena\"im et al. (2005) generalised this approach for stochasticdoi:10.1287/moor.1100.0455 fatcat:gh2ewr2xc5ccdn4d7p7cnlgjou