Cranston, M.; Le Jan, Yves Self attracting diffusions: Two case studies. (English) Zbl 0838.60052 Math. Ann. 303, No. 1, 87-93 (1995). There are given two typical examples where the self attractiveness implies convergence and scalar functional stochastic differential equations in the general model of it. Reviewer: C.Vârsan (Bucureşti) Cited in 5 ReviewsCited in 24 Documents MSC: 60H10 Stochastic ordinary differential equations (aspects of stochastic analysis) Keywords:self attractiveness; functional stochastic differential equations PDFBibTeX XMLCite \textit{M. Cranston} and \textit{Y. Le Jan}, Math. Ann. 303, No. 1, 87--93 (1995; Zbl 0838.60052) Full Text: DOI EuDML References: [1] M. Cranston, T.S. Mountford, The Strong Law of Large Numbers for a Brownian Polymer, To appear, Annals of Probability · Zbl 0873.60014 [2] R. Durrett, L.C.G. Rogers, A symptotic behavior of Brownian polymers, Prob. Theory Rel. Fields,92, 337-349, 1991 · Zbl 0767.60080 · doi:10.1007/BF01300560 [3] N. Ikeda, S. Watanabe, Stochastic Differential Equations and Diffusion Processes, North Holland, New York, 1981 · Zbl 0495.60005 [4] M. Ledoux, M. Talagrand, Probability in Banach spaces: isoperimetry and processes. Springer-Verlag, New York, 1991 · Zbl 0748.60004 [5] J.R. Norris, L.C.G. Rogers, D. Williams, Self-avoiding random walk: a Brownian motion model with local time drift, Prob. Theory Rel. Fields,74, 271-287, 1987 · Zbl 0611.60052 · doi:10.1007/BF00569993 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.