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Volumn 32, Issue 1 A, 2004, Pages 78-99

Local extinction versus local exponential growth for spatial branching processes

Author keywords

Branching diffusion; Generalized principal eigenvalue; Immortal particle decomposition; Local extinction; Spatial branching processes; Spine decomposition; Superdiffusion

Indexed keywords


EID: 17144459686     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1078415829     Document Type: Article
Times cited : (77)

References (26)
  • 1
    • 0742283826 scopus 로고    scopus 로고
    • Change of measures for Markov chains and the l log l theorem for branching processes
    • ATHREYA, K. (2000). Change of measures for Markov chains and the l log l theorem for branching processes. Bernoulli 6 323-338.
    • (2000) Bernoulli , vol.6 , pp. 323-338
    • Athreya, K.1
  • 6
    • 0001417178 scopus 로고
    • Superprocesses and partial differential equations
    • DYNKIN, E. B. (1993). Superprocesses and partial differential equations. Ann. Probab. 21 1185-1262.
    • (1993) Ann. Probab. , vol.21 , pp. 1185-1262
    • Dynkin, E.B.1
  • 7
    • 0035470882 scopus 로고    scopus 로고
    • Branching exit Markov systems and superprocesses
    • DYNKIN, E. B. (2001). Branching exit Markov systems and superprocesses. Ann. Probab. 29 1833-1858.
    • (2001) Ann. Probab. , vol.29 , pp. 1833-1858
    • Dynkin, E.B.1
  • 9
    • 0036018201 scopus 로고    scopus 로고
    • A scaling limit theorem for a class of superdiffusions
    • ENGLA¨NDER, J. and TURAEV, D. (2002). A scaling limit theorem for a class of superdiffusions. Ann. Probab. 30 683-722.
    • (2002) Ann. Probab. , vol.30 , pp. 683-722
    • Engländer, J.1    Turaev, D.2
  • 12
    • 84971790772 scopus 로고
    • Two representations of a superprocess
    • EVANS, S. N. (1993). Two representations of a superprocess. Proc. Royal Soc. Edinburgh 123A 959-971.
    • (1993) Proc. Royal Soc. Edinburgh , vol.123 A , pp. 959-971
    • Evans, S.N.1
  • 13
    • 0010800576 scopus 로고
    • Weighted occupation time for branching particle systems and a representation for the supercritical superprocess
    • EVANS, S. N. and O'CONNELL, N. (1994). Weighted occupation time for branching particle systems and a representation for the supercritical superprocess. Canad. Math. Bull. 37 187-196.
    • (1994) Canad. Math. Bull. , vol.37 , pp. 187-196
    • Evans, S.N.1    O'Connell, N.2
  • 14
    • 2142661601 scopus 로고    scopus 로고
    • Galton-Watson tree conditioned on its height
    • (B. Grigelionis, J. Kubilius, V. Paulauskas, H. Pragarauskas and V. Statulevicius, eds.). VSP, Zeist, The Netherlands
    • GEIGER, J. and KERSTING, G. (1998). Galton-Watson tree conditioned on its height. In Proceedings of the 7th Vilnius Conference (B. Grigelionis, J. Kubilius, V. Paulauskas, H. Pragarauskas and V. Statulevicius, eds.). VSP, Zeist, The Netherlands.
    • (1998) Proceedings of the 7th Vilnius Conference
    • Geiger, J.1    Kersting, G.2
  • 15
    • 0001232720 scopus 로고
    • On the supports of measure-valued critical branching Brownian motion
    • ISCOE, I. (1988). On the supports of measure-valued critical branching Brownian motion. Ann. Probab. 16 200-221.
    • (1988) Ann. Probab. , vol.16 , pp. 200-221
    • Iscoe, I.1
  • 17
    • 84985304761 scopus 로고
    • Stability of critical cluster fields
    • KALLENBERG, O. (1977). Stability of critical cluster fields. Math. Nachr. 77 7-43.
    • (1977) Math. Nachr. , vol.77 , pp. 7-43
    • Kallenberg, O.1
  • 18
    • 0008984822 scopus 로고    scopus 로고
    • A simple path to Biggins' martingale convergence theorem
    • (K. B. Athreya and P. Jagers, eds.)Springer, New York
    • LYONS, R. (1997). A simple path to Biggins' martingale convergence theorem. In Classical and Modern Branching Processes (K. B. Athreya and P. Jagers, eds.) 217-222. Springer, New York.
    • (1997) Classical and Modern Branching Processes , pp. 217-222
    • Lyons, R.1
  • 19
    • 0000028988 scopus 로고
    • Conceptual proofs of L log L criteria for mean behaviour of branching processes
    • LYONS, R., PEMANTLE, R. and PERES, Y. (1995). Conceptual proofs of L log L criteria for mean behaviour of branching processes. Ann. Probab. 23 1125-1138.
    • (1995) Ann. Probab. , vol.23 , pp. 1125-1138
    • Lyons, R.1    Pemantle, R.2    Peres, Y.3
  • 20
    • 2142641746 scopus 로고
    • A limit theorem for particle numbers in bounded domains of a branching diffusion process
    • OGURA, Y. (1983). A limit theorem for particle numbers in bounded domains of a branching diffusion process. Stochastic Process. Appl. 14 19-40.
    • (1983) Stochastic Process. Appl. , vol.14 , pp. 19-40
    • Ogura, Y.1
  • 21
    • 21144468256 scopus 로고
    • Conditioned super-Brownian motion
    • OVERBECK, L. (1993). Conditioned super-Brownian motion. Probab. Theory Related Fields 96 545-570.
    • (1993) Probab. Theory Related Fields , vol.96 , pp. 545-570
    • Overbeck, L.1
  • 23
    • 0030486030 scopus 로고    scopus 로고
    • Transience, recurrence and local extinction properties the support for supercritical finite measure-valued diffusions
    • PINSKY, R. G. (1996). Transience, recurrence and local extinction properties the support for supercritical finite measure-valued diffusions. Ann. Probab. 24 237-267.
    • (1996) Ann. Probab. , vol.24 , pp. 237-267
    • Pinsky, R.G.1
  • 24
    • 0040100097 scopus 로고
    • Processus de Dawson-Watanabe conditione´ par le futur lointain
    • ROELLY-COPPELETTA, S. and ROUAULT, A. (1989). Processus de Dawson-Watanabe conditione´ par le futur lointain. C. R. Acad. Sci. Paris Ser. I 309 867-872.
    • (1989) C. R. Acad. Sci. Paris Ser. I , vol.309 , pp. 867-872
    • Roelly-Coppeletta, S.1    Rouault, A.2
  • 25
    • 0040316867 scopus 로고    scopus 로고
    • On the conditioned exit measures of super-Brownian motion
    • SALISBURY, T. S. and VERZANI, J. (1999). On the conditioned exit measures of super-Brownian motion. Probab. Theory Related Fields 115 237-285.
    • (1999) Probab. Theory Related Fields , vol.115 , pp. 237-285
    • Salisbury, T.S.1    Verzani, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.