@article{AIHPB_2003__39_1_135_0,
author = {Dawson, Donald A. and Fleischmann, Klaus and Mytnik, Leonid and Perkins, Edwin and Xiong, Jie},
title = {Mutually catalytic branching in the plane : uniqueness},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
volume = {39},
year = {2003},
pages = {135-191},
mrnumber = {1959845},
zbl = {1016.60091},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPB_2003__39_1_135_0}
}
Dawson, Donald A.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie. Mutually catalytic branching in the plane : uniqueness. Annales de l'I.H.P. Probabilités et statistiques, Tome 39 (2003) pp. 135-191. http://gdmltest.u-ga.fr/item/AIHPB_2003__39_1_135_0/
[1] , , , Collision local times and measure-valued processes, Can. J. Math. 43 (5) (1991) 897-938. | MR 1138572 | Zbl 0765.60044
[2] , Measure-valued Markov Processes, École d'été de Probabilités de Saint Flour, 1991. | Zbl 0799.60080
[3] , , , , , , Mutually catalytic branching in the plane: Finite measure states, Ann. Probab. 30 (4) (2002) 1681-1762. | MR 1944004 | Zbl 1017.60098
[4] , , , , , , Mutually catalytic branching in the plane: infinite measure states, Electron. J. Probab. 7 (15) (2002). | MR 1921744 | Zbl 1016.60075
[5] , , Long time behaviour and co-existence in a mutually catalytic branching model, Ann. Probab. 26 (3) (1998) 1088-1138. | MR 1634416 | Zbl 0938.60042
[6] , , Particle representations for measure-valued population models, Ann. Probab. 27 (1999) 166-205. | MR 1681126 | Zbl 0956.60081
[7] , , Markov Process: Characterization and Convergence, John Wiley and Sons, New York, 1986. | MR 838085 | Zbl 0592.60049
[8] , , Collision local times, historical stochastic calculus, and competing superprocesses, Electron. J. Probab. 3 (5) (1998). | MR 1615329 | Zbl 0899.60081
[9] , , Stochastic differential equations for some measure-valued diffusions, Probab. Theory Related Fields 79 (1988) 201-225. | MR 958288 | Zbl 0631.60058
[10] , Un cours sur les intégrales stochastiques, in: (Ed.), Séminaire de Probabilités, X, Lecture Notes in Mathematics, 511, Springer, Berlin, 1976, pp. 245-400. | Numdam | MR 501332 | Zbl 0374.60070
[11] , Superprocesses in random environments, Ann. Probab. 24 (1996) 1953-1978. | MR 1415235 | Zbl 0874.60041
[12] , Uniqueness for a mutually catalytic branching model, Probab. Theory Related Fields 112 (2) (1998) 245-253. | MR 1653845 | Zbl 0912.60076
[13] , Measure-valued branching diffusions with spatial interactions, Probab. Theory Related Fields 94 (1992) 189-245. | MR 1191108 | Zbl 0767.60044
[14] , On the martingale problem for interactive measure-valued branching diffusions, Mem. Amer. Math. Soc. 549 (1995). | MR 1249422 | Zbl 0823.60071
[15] , One-dimensional stochastic partial differential equations and the branching measure diffusion, Probab. Theory Related Fields 81 (1989) 319-340. | MR 983088 | Zbl 0651.60069
[16] , An introduction to stochastic partial differential equations, Lecture Notes in Mathematics 1180 (1986) 265-439. | MR 876085 | Zbl 0608.60060