@article{AIHPB_2004__40_1_25_0, author = {Cox, J. Theodore and Perkins, Edwin A.}, title = {An application of the voter model-super-brownian motion invariance principle}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {25--32}, publisher = {Elsevier}, volume = {40}, number = {1}, year = {2004}, doi = {10.1016/j.anihpb.2003.01.001}, zbl = {1035.60092}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpb.2003.01.001/} }
TY - JOUR AU - Cox, J. Theodore AU - Perkins, Edwin A. TI - An application of the voter model-super-brownian motion invariance principle JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2004 SP - 25 EP - 32 VL - 40 IS - 1 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpb.2003.01.001/ DO - 10.1016/j.anihpb.2003.01.001 LA - en ID - AIHPB_2004__40_1_25_0 ER -
%0 Journal Article %A Cox, J. Theodore %A Perkins, Edwin A. %T An application of the voter model-super-brownian motion invariance principle %J Annales de l'I.H.P. Probabilités et statistiques %D 2004 %P 25-32 %V 40 %N 1 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpb.2003.01.001/ %R 10.1016/j.anihpb.2003.01.001 %G en %F 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) no. 1, pp. 25-32. doi : 10.1016/j.anihpb.2003.01.001. http://www.numdam.org/articles/10.1016/j.anihpb.2003.01.001/
[1] Limiting point processes for rescaling of coalescing and annihilating random walks on Zd, Ann. Probab. 9 (1981) 909-936. | MR | Zbl
,[2] Super-Brownian limits of voter model clusters, Ann. Probab. 29 (2001) 1001-1032. | MR | Zbl
, , ,[3] Asymptotics for interacting particle systems on Zd, Z. Wahrsch. Verw. Geb. 53 (1980) 183-196. | MR | Zbl
, ,[4] Rescaled voter models converge to super-Brownian motion, Ann. Probab. 28 (2000) 185-234. | MR | Zbl
, , ,[5] Markov Process: Characterization and Convergence, Wiley, New York, 1986. | MR | Zbl
, ,[6] Interacting Particle Systems, Springer, New York, 1985. | MR | Zbl
,[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
,[8] A limit theorem for patch sizes in a selectively-neutral migration model, J. Appl. Probab. 16 (1979) 482-495. | MR | Zbl
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