Download this PDF file Fullscreen Fullscreen Off
References
- Athreya, K. B. On the supercritical one dimensional age dependent branching processes. Ann. Math. Statist. 40 1969 743--763. MR0243628 (39 #4949)
- Bolker, B. M.; Pacala, S. W. Using moment equations to understand stochastically driven spatial pattern formation in ecological systems. Theor. Popul. Biol. 52 (1997), no. 3, 179--197. Math. Review number not available.
- Dawson, D. A.; Li, Zenghu. Construction of immigration superprocesses with dependent spatial motion from one-dimensional excursions. Probab. Theory Related Fields 127 (2003), no. 1, 37--61. MR2006230 (2005i:60163)
- Doney, R. A. A limit theorem for a class of supercritical branching processes. J. Appl. Probability 9 (1972), 707--724. MR0348853 (50 #1348)
- Dynkin, E. B. Three classes of infinite-dimensional diffusions. J. Funct. Anal. 86 (1989), no. 1, 75--110. MR1013934 (91b:60061)
- Etheridge, A. M. Survival and extinction in a locally regulated population. Ann. Appl. Probab. 14 (2004), no. 1, 188--214. MR2023020 (2005b:60225)
- Horridge, P.; Tribe, R.. On stationary distributions for the KPP equation with branching noise. Ann. Inst. H. Poincaré Probab. Statist. 40 (2004), no. 6, 759--770. MR2096217 (2005m:60134)
- Hutzenthaler, M.; Wakolbinger, A. Ergodic behavior of locally regulated branching populations. Ann. Appl. Probab. 17 (2007), no. 2, 474--501. MR2308333 (2008a:60235)
- Ikeda, N.; Watanabe, S.. Stochastic differential equations and diffusion processes. North-Holland Mathematical Library, 24. North-Holland Publishing Co., Amsterdam-New York; Kodansha, Ltd., Tokyo, 1981. xiv+464 pp. ISBN: 0-444-86172-6 MR0637061 (84b:60080)
- Jagers, P.. Branching processes with biological applications. Wiley Series in Probability and Mathematical Statistics---Applied Probability and Statistics. Wiley-Interscience [John Wiley & Sons], London-New York-Sydney, 1975. xiii+268 pp. ISBN: 0-471-43652-6 MR0488341 (58 #7890)
- Jagers, P.. Stabilities and instabilities in population dynamics. J. Appl. Probab. 29 (1992), no. 4, 770--780. MR1188534 (93j:60120)
- Kaplan, N.. A note on the supercritical generalized age-dependent branching process. J. Appl. Probability 12 (1975), 341--345. MR0370803 (51 #7028)
- Karlin, S.; Taylor, H. M. A second course in stochastic processes. Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1981. xviii+542 pp. ISBN: 0-12-398650-8 MR0611513 (82j:60003)
- Kesten, H.; Stigum, B. P. A limit theorem for multidimensional Galton-Watson processes. Ann. Math. Statist. 37 1966 1211--1223. MR0198552 (33 #6707)
- Mueller, C.; Tribe, R.. A phase transition for a stochastic PDE related to the contact process. Probab. Theory Related Fields 100 (1994), no. 2, 131--156. MR1296425 (95k:60151)
- Pitman, J.; Yor, M.. A decomposition of Bessel bridges. Z. Wahrsch. Verw. Gebiete 59 (1982), no. 4, 425--457. MR0656509 (84a:60091)
- Rogers, L. C. G.; Williams, D.. Diffusions, Markov processes and martingales. Vol. 2. Cambridge Mathematical Library. Cambridge University Press, Cambridge, 2000. xiv+480 pp. ISBN: 0-521-77593-0 MR1780932 (2001g:60189)
- Salminen, P.; Vallois, P.; Yor, Marc. On the excursion theory for linear diffusions. Jpn. J. Math. 2 (2007), no. 1, 97--127. MR2295612 (2008g:60248)
- Sznitman, A.. Topics in propagation of chaos. École d'Été de Probabilités de Saint-Flour XIX---1989, 165--251, Lecture Notes in Math., 1464, Springer, Berlin, 1991. MR1108185 (93b:60179)
- Williams, D.. Path decomposition and continuity of local time for one-dimensional diffusions. I. Proc. London Math. Soc. (3) 28 (1974), 738--768. MR0350881 (50 #3373)

This work is licensed under a Creative Commons Attribution 3.0 License.