References

1. Bhattacharya, R.N. and Rao, R.R. (1976), Normal approximation and asymptotic expansions, Wiley New-York. MR 55#9219
2. Chauvin, B., Rouault, A. and Wakolbinger, A. (1991), Growing conditioned trees, Stoc. Proc. Appl., 39, 117-130. MR  93d:60138
3. Cox, J.T.; Fleischmann, K. and Greven, A. (1996), Comparison of interacting diffusions and application to their ergodic theory, Probab. Theor. Rel. Fields, 105, 513-528. MR 97h:60073
4. Cox, J.T. and Greven, A. (1994), Ergodic theorems for infinite systems of locally interacting diffusions, Ann. Probab., 22(2), 833-853. MR 95h:60158
5. Cox, J.T., Greven, A. and Shiga, T. (1995), Finite and infinite systems of interacting diffusions, Probab. Rel. Fields, 103, 165-197. MR 96i:60105
6. Cox, J.T. and Griffeath, D. (1986), Diffusive clustering in the two dimensional voter model, Ann. Probab., 14(2), 347-370. MR 87j:60146
7. Dawson, D.A. (1977), The critical measure diffusion process, Z. Wahrscheinlichleitstheorie verw. Gebiete, 40, 125-145. MR 57#17857
8. Dawson, D.A. (1993), Measure-valued Markov processes, École d'Été de Probabilités de Saint Flour XXI -- 1991, Lect. Notes in Math. 1541, 1-260, Springer-Verlag. MR 96m:60101
9. Dawson, D.A. and Greven, A. (1993), Multiple time scale analysis of hierarchical interacting systems, A Festschrift to honor G. Kallianpur, Springer New York, 41-50. MR 97j:60181
10. Dawson, D.A. and Greven, A. (1993), Multiple time scale analysis of interacting diffusions, Probab. Theory Relat. Fields 95, 467-508. MR 94i:60122
11. Dawson, D.A. and Greven, A. (1996), Multiple space-time analysis for interacting branching models, EJP, 1(14), 1-84, http://www.math.washington.edu/~ejpecp/EjpVol1/paper14.abs.html. MR 97m:60148
12. Dawson, D.A., Greven, A. and Vaillancourt, J. (1995), Equilibria and quasi equilibria for infinite systems of interacting Fleming-Viot processes, Trans. AMS, 347(7), 2277-2361, Memoirs of the American Mathematical Society 93, 454. MR 95k:60248
13. Deuschel, J. D. (1988), Central limit theorem for an infinite lattice system of interacting diffusion processes, Ann. Probab. 16, 700-716. MR 89f:60022
14. Durrett, R. (1979), An infinite particle system with additive interactions, Adv. Appl. Prob., 11, 355-383. MR 80i:60116
15. Durrett, R. (1991), Probability: Theory and Examples, Duxbury Press, Belmont, California.  MR 98m:60001
16. Dynkin, E.B. (1988), Representation for functionals of superprocesses by multiple stochastic integrals, with applications to self-intersection local times, Astérisque, 157-158, 147-171. MR 90b:60103
17. Etheridge, A. (1993), Asymptotic behavior of measure-valued critical branching processes, Proc. AMS, 118(4), 1251-1261.  MR 93j:60118
18. Ethier, S.N. and Krone, S.M. (1995), Comparing Fleming-Viot and Dawson-Watanabe processes, Stoc. Proc. Appl., 60, 171-190. MR 97g:60064
19. Fleischman, J. (1978), Limiting distributions for branching random fields, Trans. AMS, 239, 353-389.  MR 57#17858
20. Fleischmann, K. and Greven, A. (1996), Time-space analysis of the cluster-formation in interacting diffusions, EJP, 1(6), 1-46, http://www.math.washington.edu/~ejpecp/EjpVol1/paper6.abs.html. MR 97e:60151
21. Gorostiza, L.G., Roelly, S. and Wakolbinger, A. (1992), Persistence of critical multitype particle and measure branching processes, Probab. Theory Relat. Fields, 92, 313-335.  MR 93e:60171
22. Gorostiza, L.G. and Wakolbinger, A. (1991), Persistence criteria for a class of critical branching particle systems in continuous time, Ann. Probab., 19(1), 266-288.  MR 91k:60089
23. Holley, R. and Liggett, T.M. (1975), Ergodic theorems for weakly interacting systems and the voter model, Ann. Probab., 3, 643-663. MR 53#6798
24. Hurwitz, A. (1964), Vorlesungen über allgemeine Funktionentheorie, Springer-Verlag.  MR 30#3959
25. Kallenberg, O. (1977), Stability of critical cluster fields, Math. Nachr., 77, 7-43.  MR 56#1451
26. Kallenberg, O. (1983), Random Measures, Akademie-Verlag Berlin. MR 87g:60048
27. Klenke, A. (1996) Different clustering regime in systems of hierarchically interacting diffusions,Ann. Probab., 24(2), 660-697.  MR 97h:60125
28. Klenke, A. (1997), Multiple scale analysis of clusters in spatial branching models, Ann. Probab., 25(4), 1670-1711.  MR 99a:60091
29. Klenke, A. (1998) Clustering and invariant measures for spatial branching models with infinite variance, Ann. Probab., 26(3), 1057-1087. MR 99i:60160
30. Klenke, A. (2000), Diffusive clustering on interacting Brownian motions on $Z^2$, Stoch. Proc. Appl., 89(2), 261-268.  MR 2001h:60178
31. Kopietz, A. (1998), Diffusive Clusterformation für wechselwirkende Diffusionen mit beidseitig unbeschränktem Zustandsraum, Dissertation, Universität Erlangen-Nürnberg.
32. Lee, T. Y. (1991), Conditional limit distributions of critical branching Brownian motions, Ann. Probab., 19(1), 289-311. MR 91m:60154
33. Liggett, T.M. and Spitzer, F. (1981), Ergodic theorems for coupled random walks and other systems with locally interacting components, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 56, 443-468.  MR 82h:60193
34. Matthes, K. (1972), Infinitely divisible point processes, in Stochastic point processes: Statistical Analysis, Theory, and Applications, Wiley Interscience, New-York/London/Sydney/Toronto, 384-404. MR 51#1951
35. Roelly-Coppoletta, S. and Rouault, A. (1989), Processes de Dawson-Watanabe conditionné par le futur lointain, C.R.Acad.Sci.Paris, 309, Série I, 867-872. MR 91d:60210
36. Shiga, T. (1980), An interacting system in population genetics, Jour. Kyoto Univ., 20(2), 213-243. MR 82e:92029a
37. Shiga, T. (1992), Ergodic theorems and exponential decay of sample paths for certain interacting diffusion systems, Osaka J. Math., 29, 789-807. MR 94i:60006
38. Sirjaev, A.N. (1988), Wahrscheinlichkeit, VEB Deutscher Verlag der Wissenschaften Berlin, 308.
39. Winter, A. (1999), Multiple scale analysis of spatial branching processes under the Palm distribution, Dissertation, Universität Erlangen-Nürnberg, http://www.mi.uni-erlangen.de/~winter/.