Convergence in Distribution of Some Self-Interacting Diffusions

The present paper is concerned with some self-interacting diffusions (Xt,t≥0) living on ℝd. These diffusions are solutions to stochastic differential equations: dXt=dBt-g(t)∇V(Xt-μ¯t)dt, where μ¯t is the empirical mean of the process X, V is an asymptotically strictly convex potential, and g is a gi...

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Bibliographic Details
Main Author: Aline Kurtzmann
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2014/364321
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