@article{AIHPB_2003__39_6_979_0,
author = {Fournier, Nicolas and Roynette, Bernard},
title = {On long time almost sure asymptotics of renormalized branching diffusion processes},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
volume = {39},
year = {2003},
pages = {979-991},
doi = {10.1016/S0246-0203(03)00031-1},
mrnumber = {2010393},
zbl = {1037.60075},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPB_2003__39_6_979_0}
}
Fournier, Nicolas; Roynette, Bernard. On long time almost sure asymptotics of renormalized branching diffusion processes. Annales de l'I.H.P. Probabilités et statistiques, Tome 39 (2003) pp. 979-991. doi : 10.1016/S0246-0203(03)00031-1. http://gdmltest.u-ga.fr/item/AIHPB_2003__39_6_979_0/
[1] , , Linear Operators, Part II, Spectral Theory, Selfadjoint Operators in Hilbert Space, Reprint of the 1963 original, Wiley Classics Library, 1988. | MR 1009163 | Zbl 0635.47002 | Zbl 0128.34803
[2] , Branching particle systems and superprocesses, Ann. Probab. 19 (3) (1991) 1157-1194. | MR 1112411 | Zbl 0732.60092
[3] , , A scaling limit theorem for a class of superdiffusions, Ann. Probab. 30 (2) (2002) 683-722. | MR 1905855 | Zbl 1014.60080
[4] , , Fundamental solutions for second order subelliptic operators, Ann. of Math. 124 (1986) 247-272. | MR 855295 | Zbl 0613.35002
[5] , , Stochastic Differential Equations and Diffusion Processes, North-Holland, 1989. | MR 1011252 | Zbl 0684.60040
[6] , , A limit theorem for multidimensional Galton-Watson processes, Ann. Math. Statist. 37 (1966) 1211-1223. | Zbl 0203.17401
[7] , , , , A conceptual proof of the Kesten-Stigum theorem for multi-type branching processes, in: , (Eds.), Classical and Modern Branching Processes (Minneapolis, 1994), IMA Vol. Math. Appl., 84, Springer, New York, 1997, pp. 181-185. | Zbl 0868.60068
[8] , Transience, reccurence and local extinction properties of the support for supercritical finite measure-valued diffusions, Ann. Probab. 24 (1) (1996) 237-267. | MR 1387634 | Zbl 0854.60087