Free Access
Issue |
ESAIM: PS
Volume 7, March 2003
|
|
---|---|---|
Page(s) | 171 - 208 | |
DOI | https://doi.org/10.1051/ps:2003001 | |
Published online | 15 May 2003 |
- K. Burdzy, R. Holyst, D. Ingerman and P. March, Configurational transition in a Fleming-Viot-type model and probabilistic interpretation of Laplacian eigenfunctions. J. Phys. A 29 (1996) 2633-2642. [CrossRef] [Google Scholar]
- K. Burdzy, R. Holyst and P. March, A Fleming-Viot particle representation of Dirichlet Laplacian. Comm. Math. Phys. 214 (2000) 679-703. [Google Scholar]
- P. Del Moral and A. Guionnet, On the stability of interacting processes with applications to filtering and genetic algorithms. Ann. Inst. H. Poincaré 37 (2001) 155-194. [Google Scholar]
- P. Del Moral and L. Miclo, Branching and interacting particle system approximations of Feynman-Kac formulae with applications to nonlinear filtering, in Séminaire de Probabilités XXXIV, edited by J. Azéma, M. Emery, M. Ledoux and M. Yor. Springer, Lecture Notes in Math. 1729 (2000) 1-145. Asymptotic stability of non linear semigroups of Feynman-Kac type. Ann. Fac. Sci. Toulouse (to be published). [Google Scholar]
- P. Del Moral and L. Miclo, Asymptotic stability of nonlinear semigroup of Feynman-Kac type. Publications du Laboratoire de Statistique et Probabilités, No. 04-99 (1999). [Google Scholar]
- P. Del Moral and L. Miclo, A Moran particle approximation of Feynman-Kac formulae. Stochastic Process. Appl. 86 (2000) 193-216. [CrossRef] [MathSciNet] [Google Scholar]
- P. Del Moral and L. Miclo, About the strong propagation of chaos for interacting particle approximations of Feynman-Kac formulae. Publications du Laboratoire de Statistiques et Probabilités, Toulouse III, No 08-00 (2000). [Google Scholar]
- P. Del Moral and L. Miclo, Genealogies and increasing propagation of chaos for Feynman-Kac and genetic models. Ann. Appl. Probab. 11 (2001) 1166-1198. [MathSciNet] [Google Scholar]
- M.D. Donsker and R.S. Varadhan, Asymptotic evaluation of certain Wiener integrals for large time in Functional Integration and its Applications, edited by A.M. Arthur. Oxford Universtity Press (1975) 15-33. [Google Scholar]
- J. Feng and T. Kurtz, Large deviations for stochastic processes. http://www.math.umass.edu/ feng/Research.html [Google Scholar]
- J. Jacod and A.N. Shiryaev, Limit theorems for stochastic processes. Springer-Verlag, A Series of Comprehensive Studies in Math. 288 (1987). [Google Scholar]
- T. Kato, Perturbation theory for linear operators. Classics in Mathematics. Springer-Verlag, Berlin, Heidelberg, New York (1980). [Google Scholar]
- M. Reed and B. Simon, Methods of modern mathematical physics, II, Fourier analysis, self adjointness. Academic Press, New York (1975). [Google Scholar]
- A.S. Sznitman, Brownian motion, obstacles and random media. Springer, Springer Monogr. in Math. (1998). [Google Scholar]
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