@article{AIHPB_2004__40_1_25_0, author = {Cox, J. Theodore and Perkins, Edwin}, title = {An application of the voter model-super-brownian motion invariance principle}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, volume = {40}, year = {2004}, pages = {25-32}, doi = {10.1016/j.anihpb.2003.01.001}, zbl = {1035.60092}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPB_2004__40_1_25_0} }
Cox, J. Theodore; Perkins, Edwin A. An application of the voter model-super-brownian motion invariance principle. Annales de l'I.H.P. Probabilités et statistiques, Tome 40 (2004) pp. 25-32. doi : 10.1016/j.anihpb.2003.01.001. http://gdmltest.u-ga.fr/item/AIHPB_2004__40_1_25_0/
[1] Limiting point processes for rescaling of coalescing and annihilating random walks on Zd, Ann. Probab. 9 (1981) 909-936. | MR 632966 | Zbl 0496.60098
,[2] Super-Brownian limits of voter model clusters, Ann. Probab. 29 (2001) 1001-1032. | MR 1872733 | Zbl 1029.60078
, , ,[3] Asymptotics for interacting particle systems on Zd, Z. Wahrsch. Verw. Geb. 53 (1980) 183-196. | MR 580912 | Zbl 0417.60097
, ,[4] Rescaled voter models converge to super-Brownian motion, Ann. Probab. 28 (2000) 185-234. | MR 1756003 | Zbl 1044.60092
, , ,[5] Markov Process: Characterization and Convergence, Wiley, New York, 1986. | MR 838085 | Zbl 0592.60049
, ,[6] Interacting Particle Systems, Springer, New York, 1985. | MR 776231 | Zbl 1103.82016
,[7] Dawson-Watanabe superprocesses and measure-valued diffusions, in: Lectures on Probability Theory and Statistics; École d'Eté des Probabilités de St. Flour XXIX, 1999, Lecture Notes in Math., vol. 1781, Springer, 2002. | Zbl 1020.60075
,[8] A limit theorem for patch sizes in a selectively-neutral migration model, J. Appl. Probab. 16 (1979) 482-495. | MR 540786 | Zbl 0433.92017
,