@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
,