Dawson, D. A.; Gärtner, J. Long time behaviour of interacting diffusions. (English) Zbl 0668.60067 Stochastic calculus in application, Proc. Symp., Cambridge/UK 1987, Pitman Res. Notes Math. Ser. 197, 29-54 (1988). [For the entire collection see Zbl 0647.00006.] The authors provide a survey on limit theorems and qualitative behavior related to weakly interacting diffusions. They summarize and relate results of their previous joint papers but also mention open problems and conjectures. The authors emphasize the use of large deviations techniques to establish metastability of states in the Vlasov-McKean limit. Reviewer: M.Scheutzow Cited in 1 ReviewCited in 3 Documents MSC: 60J60 Diffusion processes 60F05 Central limit and other weak theorems 60F10 Large deviations 60G57 Random measures Keywords:mean field interaction; large deviations; survey on limit theorems; metastability of states; Vlasov-McKean limit Citations:Zbl 0647.00006 PDFBibTeX XML