Coalescing Markov labelled partitions and a continuous sites genetics model with infinitely many types
Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997) no. 3, pp. 339-358.
@article{AIHPB_1997__33_3_339_0,
     author = {Evans, Steven N.},
     title = {Coalescing {Markov} labelled partitions and a continuous sites genetics model with infinitely many types},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {339--358},
     publisher = {Gauthier-Villars},
     volume = {33},
     number = {3},
     year = {1997},
     mrnumber = {1457055},
     zbl = {0884.60096},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPB_1997__33_3_339_0/}
}
TY  - JOUR
AU  - Evans, Steven N.
TI  - Coalescing Markov labelled partitions and a continuous sites genetics model with infinitely many types
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 1997
SP  - 339
EP  - 358
VL  - 33
IS  - 3
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPB_1997__33_3_339_0/
LA  - en
ID  - AIHPB_1997__33_3_339_0
ER  - 
%0 Journal Article
%A Evans, Steven N.
%T Coalescing Markov labelled partitions and a continuous sites genetics model with infinitely many types
%J Annales de l'I.H.P. Probabilités et statistiques
%D 1997
%P 339-358
%V 33
%N 3
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPB_1997__33_3_339_0/
%G en
%F AIHPB_1997__33_3_339_0
Evans, Steven N. Coalescing Markov labelled partitions and a continuous sites genetics model with infinitely many types. Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997) no. 3, pp. 339-358. http://archive.numdam.org/item/AIHPB_1997__33_3_339_0/

[1] C. Berg, J.P.R. Christensen and P. Ressel. Harmonic Analysis on Semigroups: Theory of Positive Definite and Related Functions. Springer, New York, 1984. | MR | Zbl

[2] R.M. Blumenthal and R.K. Getoor, Markov Processes and Potential Theory. Academic Press, New York, 1968. | MR | Zbl

[3] D.A. Dawson, A. Greven and J. Vaillancourt, Equilibria and quasi-equilibria for infinite collections of interacting Fleming-Viot processes. Trans. Amer. Math. Soc., Vol. 347, 1995, pp. 2277-2360. | MR | Zbl

[4] J. Diestel and J.J. Uhl Jr., Vector Measures. American Mathematical Society, Providence, 1977. | MR | Zbl

[5] N. Dunford and J.T. Schwartz. Linear Operators, Part I: General Theory. Interscience Publishers, 1958. | MR | Zbl

[6] S.N. Ethier and T.G. Kurtz. Markov Processes: Characterization and Convergence. Wiley, New York, 1986. | MR | Zbl

[7] S.N. Evans and K. Fleischmann, Cluster formation in formation in a stepping stone model with continuous, hierarchically structured sites. Ann. Probab., Vol. 24, 1996, pp. 1926-1952. | MR | Zbl

[8] P.J. Fitzsimmons, Construction and regularity of measure-valued Markov branching processes. Israel J. Math., Vol. 64, 1988, pp. 337-361. | MR | Zbl

[9] K. Handa, A measure-valued diffusion process describing the stepping stone model with infinitely many alleles. Stoch. Proc. Appl., Vol. 36, 1990, pp. 269-296 . | MR | Zbl

[10] T.M. Liggett, Interacting Particle Systems. Springer, New York, 1985. | MR | Zbl

[11] M. Sharpe, General Theory of Markov Processes. Academic Press, Boston, 1988. | MR | Zbl

[12] T. Shiga, An interacting system in population genetics. J. Math. Kyoto Univ., Vol. 20, 1980, pp. 213-242. | MR | Zbl

[13] T. Shiga, Stepping stone models in population genetics and population dynamics. In S. Albeverio et al., ed, Stochastic Processes in Physics and Engineering, Mathematics and Its Applications, pp. 345-355. D. Reidel Publishing Company, 1988. | MR | Zbl