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In this paper we study a self-attracting diffusion in the case of a constant self-attraction and for dimension larger than two. We prove that this process converges almost surely.
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Received: 27 March 1995 / In revised form: 22 May 1996
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Raimond, O. Self-attracting diffusions: Case of the constant interaction. Probab Theory Relat Fields 107, 177–196 (1997). https://doi.org/10.1007/s004400050082
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DOI: https://doi.org/10.1007/s004400050082
- Mathematics Subject Classification (1991):60H10, 60K35