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References

  1. S. Benachour, B. Roynette, D. Talay, P. Vallois. Nonlinear self-stabilizing processes. I. Existence, invariant probability, propagation of chaos. Stochastic Process. Appl. 75 (1998), no. 2, 173--201. Math. Review 99j:60079
  2. S. Benachour, B. Roynette, P. Vallois. Nonlinear self-stabilizing processes. II. Convergence to invariant probability. Stochastic Process. Appl. 75 (1998), no. 2, 203--224. Math. Review 99j:60080
  3. D.A. Dawson, J. G?rtner. Large deviations from the McKean-Vlasov limit for weakly interacting diffusions. Stochastics 20 (1987), no. 4, 247--308. Math. Review 89c:60092
  4. Funaki, Tadahisa. A certain class of diffusion processes associated with nonlinear parabolic equations. Z. Wahrsch. Verw. Gebiete 67 (1984), no. 3, 331--348. Math. Review 86b:35086
  5. S. Herrmann, J. Tugaut. Non-uniqueness of stationary measures for self-stabilizing processes. Stochastic Process. Appl. 120 (2010), 1215--1246. Math. Review number not available.
  6. H.P. McKean, Jr. A class of Markov processes associated with nonlinear parabolic equations. Proc. Nat. Acad. Sci. U.S.A. 56 (1966), 1907--1911. Math. Review 36 #4647
  7. H.P. McKean, Jr. Propagation of chaos for a class of non-linear parabolic equations. 1967 Stochastic Differential Equations (Lecture Series in Differential Equations, Session 7, Catholic Univ., 1967) , 41--57 Air Force Office Sci. Res., Arlington, Va. Math. Review 38 #1759
  8. A.-S. Sznitman. Topics in propagation of chaos. ?cole d'?tÈ de ProbabilitÈs de Saint-Flour XIX---1989, 165--251, Lecture Notes in Math., 1464, Springer, Berlin, 1991. Math. Review 93b:60179
  9. Y. Tamura. On asymptotic behaviors of the solution of a nonlinear diffusion equation. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 31 (1984), no. 1, 195--221. Math. Review 86a:60133
  10. Y. Tamura. Free energy and the convergence of distributions of diffusion processes of McKean type. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 34 (1987), no. 2, 443--484. Math. Review 89e:60151
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