Self-stabilizing processes in multi-wells landscape in R - Convergence∗
نویسنده
چکیده
Self-stabilizing processes are non-markovian diffusions. The own law of the process intervenes in the drift. When the non-interacting part of the drift corresponds to the gradient of a convex potential, it has been proved in some different ways that such processes converge when the time goes to infinity. However, in a previous paper, it has been proved that there is non-uniqueness of the stationary measures. The aim of this paper is to study the long-time behaviour of the self-stabilizing processes even if the set of stationary measures is not finite.
منابع مشابه
Self-stabilizing processes in multi-wells landscape in R - Invariant probabilities∗
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تاریخ انتشار 2011