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Volumn 10, Issue 4, 2000, Pages 1121-1136

The biodiversity of catalytic super-Brownian motion

Author keywords

Equilibrium states; Extinction; Genetic abundance; Instantaneous propagation of matter; Superprocess

Indexed keywords


EID: 0034310126     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (7)

References (15)
  • 1
    • 0031504086 scopus 로고    scopus 로고
    • A continuous super-Brownian motion in a super-Brownian medium
    • DAWSON, D. A. and FLEISCHMANN, K. (1997). A continuous super-Brownian motion in a super-Brownian medium. J. Theoret. Probab. 10 213-276.
    • (1997) J. Theoret. Probab. , vol.10 , pp. 213-276
    • Dawson, D.A.1    Fleischmann, K.2
  • 2
    • 0031573366 scopus 로고    scopus 로고
    • Longtime behavior of a branching process controlled by branching catalysts
    • DAWSON, D. A. and FLEISCHMANN, K. (1997). Longtime behavior of a branching process controlled by branching catalysts. Stochastic Process. Appl. 71 241-257.
    • (1997) Stochastic Process. Appl. , vol.71 , pp. 241-257
    • Dawson, D.A.1    Fleischmann, K.2
  • 3
    • 0034345575 scopus 로고    scopus 로고
    • Finite time extinction of super-processes with catalysts
    • DAWSON, D. A., FLEISCHMANN, K. and MUELLER, C. (2000). Finite time extinction of super-processes with catalysts. Ann. Probab. 28 000-000.
    • (2000) Ann. Probab. , vol.28
    • Dawson, D.A.1    Fleischmann, K.2    Mueller, C.3
  • 4
    • 0000441817 scopus 로고
    • Super-Brownian motion: Path properties and hitting probabilities
    • DAWSON, D. A., ISCOE, I. and PERKINS, E. A. (1989). Super-Brownian motion: Path properties and hitting probabilities. Probab. Theory Related Fields 83 135-205.
    • (1989) Probab. Theory Related Fields , vol.83 , pp. 135-205
    • Dawson, D.A.1    Iscoe, I.2    Perkins, E.A.3
  • 5
    • 21344433853 scopus 로고
    • The support of measure-valued branching processes in a random environment
    • DAWSON, D. A., LI, Y. and MUELLER, C. (1995). The support of measure-valued branching processes in a random environment. Ann. Probab. 23 1692-1718.
    • (1995) Ann. Probab. , vol.23 , pp. 1692-1718
    • Dawson, D.A.1    Li, Y.2    Mueller, C.3
  • 6
    • 0000466469 scopus 로고
    • Branching particle systems and superprocesses
    • DYNKIN, E. B. (1991). Branching particle systems and superprocesses. Ann. Probab. 19 1157-1194.
    • (1991) Ann. Probab. , vol.19 , pp. 1157-1194
    • Dynkin, E.B.1
  • 7
    • 0003016819 scopus 로고
    • Path processes and historical superprocesses
    • DYNKIN, E. B. (1991). Path processes and historical superprocesses. Probab. Theory Related Fields 90 1-36.
    • (1991) Probab. Theory Related Fields , vol.90 , pp. 1-36
    • Dynkin, E.B.1
  • 8
    • 0001160892 scopus 로고
    • Superdiffusions and parabolic nonlinear differential equations
    • DYNKIN, E. B. (1992). Superdiffusions and parabolic nonlinear differential equations. Ann. Probab. 20 942-962.
    • (1992) Ann. Probab. , vol.20 , pp. 942-962
    • Dynkin, E.B.1
  • 9
    • 84966206882 scopus 로고
    • Absolute continuity results for superprocesses with some applications
    • EVANS, S. N. and PERKINS, E. A. (1991). Absolute continuity results for superprocesses with some applications. Trans. Amer. Math. Soc. 325 661-681.
    • (1991) Trans. Amer. Math. Soc. , vol.325 , pp. 661-681
    • Evans, S.N.1    Perkins, E.A.2
  • 10
    • 0001658655 scopus 로고
    • Measure-valued branching diffusions with singular interactions
    • EVANS, S. N. and PERKINS, E. A. (1994). Measure-valued branching diffusions with singular interactions. Canad. J. Math. 46 120-168.
    • (1994) Canad. J. Math. , vol.46 , pp. 120-168
    • Evans, S.N.1    Perkins, E.A.2
  • 11
    • 0033449129 scopus 로고    scopus 로고
    • Smooth density field of catalytic super-Brownian motion
    • FLEISCHMANN, K. and KLENKE, A. (1999). Smooth density field of catalytic super-Brownian motion. Ann. Appl. Probab. 9 298-318.
    • (1999) Ann. Appl. Probab. , vol.9 , pp. 298-318
    • Fleischmann, K.1    Klenke, A.2
  • 12
    • 0031527604 scopus 로고    scopus 로고
    • A super-Brownian motion with a locally infinite catalytic mass
    • FLEISCHMANN, K. and MUELLER, C. (1997). A super-Brownian motion with a locally infinite catalytic mass. Probab. Theory Related Fields 107 325-357.
    • (1997) Probab. Theory Related Fields , vol.107 , pp. 325-357
    • Fleischmann, K.1    Mueller, C.2
  • 13
    • 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
  • 14
    • 0002133811 scopus 로고    scopus 로고
    • A review on spatial catalytic branching
    • (L. Gorostiza and G. Ivanoff, eds.). Amer. Math. Soc., Providence, RI
    • KLENKE, A. (2000). A review on spatial catalytic branching. In Stochastic Models. A Conference in Honour of Professor Don Dawson (L. Gorostiza and G. Ivanoff, eds.) 245-263. Amer. Math. Soc., Providence, RI.
    • (2000) Stochastic Models. A Conference in Honour of Professor Don Dawson , pp. 245-263
    • Klenke, A.1
  • 15
    • 0000041899 scopus 로고
    • Polar sets and multiple points for super-Brownian motion
    • PERKINS, E. (1990). Polar sets and multiple points for super-Brownian motion. Ann. Probab. 18 453-491.
    • (1990) Ann. Probab. , vol.18 , pp. 453-491
    • Perkins, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.