The dynamics of mutation-selection algorithms with large population sizes
Annales de l'I.H.P. Probabilités et statistiques, Tome 32 (1996) no. 4, pp. 455-508. 
@article{AIHPB_1996__32_4_455_0,
     author = {Cerf, Rapha\"el},
     title = {The dynamics of mutation-selection algorithms with large population sizes},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {455--508},
     publisher = {Gauthier-Villars},
     volume = {32},
     number = {4},
     year = {1996},
     mrnumber = {1411269},
     zbl = {0861.60038},
     language = {en},
     url = {http://www.numdam.org/item/AIHPB_1996__32_4_455_0/}
}
TY  - JOUR
AU  - Cerf, Raphaël
TI  - The dynamics of mutation-selection algorithms with large population sizes
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 1996
SP  - 455
EP  - 508
VL  - 32
IS  - 4
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPB_1996__32_4_455_0/
LA  - en
ID  - AIHPB_1996__32_4_455_0
ER  - 
%0 Journal Article
%A Cerf, Raphaël
%T The dynamics of mutation-selection algorithms with large population sizes
%J Annales de l'I.H.P. Probabilités et statistiques
%D 1996
%P 455-508
%V 32
%N 4
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPB_1996__32_4_455_0/
%G en
%F AIHPB_1996__32_4_455_0
Cerf, Raphaël. The dynamics of mutation-selection algorithms with large population sizes. Annales de l'I.H.P. Probabilités et statistiques, Tome 32 (1996) no. 4, pp. 455-508. http://www.numdam.org/item/AIHPB_1996__32_4_455_0/

[1] O. Catoni, Large deviations for annealing, Ph. D. Thesis, University Paris XI, 1990.

[2] O. Catoni, Rough large deviations estimates for simulated annealing. Application to exponential schedules, The Annals of Probability, Vol. 20, 1992, pp. 1109-1146. | MR | Zbl

[3] R. Cerf, Asymptotic convergence of genetic algorithms, Preprint, submitted, 1993. | MR

[4] M.I. Freidlin and A.D. Wentzell, Random perturbations of dynamical systems, Springer-Verlag, New York, 1984. | MR | Zbl

[5] D. Goldberg, Genetic algorithms in search, optimization and machine learning, Addison-Wesley, 1989. | Zbl

[6] J.H. Holland, Adaptation in natural and artificial systems, The University of Michigan Press, Ann. Arbor, 1975. | MR | Zbl

[7] C.R. Hwang and S.J. Sheu, Singular perturbed Markov chains and exact behaviours of simulated annealing process, Journal of Theoretical Probability, Vol. 5, No. 2, 1992, pp. 223-249. | MR | Zbl

[8] A. Trouvé, Convergence optimale pour les algorithmes de recuits généralisés, C. R. Acad. Sci. Paris, t. 315, Série I, 1992, pp. 1197-1202. | MR | Zbl

[9] A. Trouvé, Cycle decompositions and simulated annealing, Preprint, 1993. | MR

[10] A. Trouvé, Parallélisation massive du recuit simulé, Ph. D. Thesis, University Paris XI, 1993.

[11] A. Trouvé, Rough large deviation estimates for the optimal convergence speed exponent of generalized simulated annealing algorithms, Preprint, 1993.