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Volumn 110, Issue 1, 1998, Pages 1-12

Persistence of a two-dimensional super-Brownian motion in a catalytic medium

Author keywords

Catalyst; Catalytic super Brownian medium; Measure; Non extinction; Persistence; Superprocess; Valued branching

Indexed keywords


EID: 0031632403     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400050142     Document Type: Article
Times cited : (9)

References (14)
  • 1
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    • Bramson, M., Cox, J. T., Greven, A.: Ergodicity of critical spatial branching processes in low dimensions. Ann. Probab. 21, 1946-1957 (1993)
    • (1993) Ann. Probab. , vol.21 , pp. 1946-1957
    • Bramson, M.1    Cox, J.T.2    Greven, A.3
  • 2
    • 0001481374 scopus 로고
    • Collision local times and measure-valued processes
    • Barlow, M.T., Evans, S.N., Perkins, E.A.: Collision local times and measure-valued processes. Can. J. Math. 43(5), 897-938 (1991)
    • (1991) Can. J. Math. , vol.43 , Issue.5 , pp. 897-938
    • Barlow, M.T.1    Evans, S.N.2    Perkins, E.A.3
  • 4
    • 0002275662 scopus 로고
    • Measure-valued Markov processes
    • P.L. Hennequin, editor, Lecture Notes in Mathematics Springer-Verlag, Berlin
    • Dawson, D.A. Measure-valued Markov processes. In P.L. Hennequin, editor, École d'été de probabilités de Saint Flour XXI 1991, volume 1541 of Lecture Notes in Mathematics pages 1-260. Springer-Verlag, Berlin (1993)
    • (1993) École d'Été de Probabilités de Saint Flour XXI 1991 , vol.1541 , pp. 1-260
    • Dawson, D.A.1
  • 5
    • 0000751462 scopus 로고
    • Strong clumping of critical space-time branching models in subcritical dimensions
    • Dawson, D.A., Fleischmann, K.: Strong clumping of critical space-time branching models in subcritical dimensions. Stoch. Proc. Appl. 30, 193-208 (1988)
    • (1988) Stoch. Proc. Appl. , vol.30 , pp. 193-208
    • Dawson, D.A.1    Fleischmann, K.2
  • 6
    • 0031504086 scopus 로고    scopus 로고
    • A continuous super-Brownian motion in a super-Brownian medium
    • Dawson, D.A., Fleischmann, K.: A continuous super-Brownian motion in a super-Brownian medium. Journ. Theoret. Probab. 10(1), 213-276 (1997)
    • (1997) Journ. Theoret. Probab. , vol.10 , Issue.1 , pp. 213-276
    • Dawson, D.A.1    Fleischmann, K.2
  • 7
    • 0031573366 scopus 로고    scopus 로고
    • Longtime behavior of a branching process controlled by branching catalysts
    • to appear
    • Dawson, D.A., Fleischmann, K.: Longtime behavior of a branching process controlled by branching catalysts. Stoch. Process. Appl. to appear (1997)
    • (1997) Stoch. Process. Appl.
    • Dawson, D.A.1    Fleischmann, K.2
  • 8
    • 0001869784 scopus 로고
    • The carrying dimension of a stochastic measure diffusion
    • Dawson, D.A., Hochberg, K.J.: The carrying dimension of a stochastic measure diffusion. Ann. Probab. 7, 693-703 (1979)
    • (1979) Ann. Probab. , vol.7 , pp. 693-703
    • Dawson, D.A.1    Hochberg, K.J.2
  • 9
    • 0000466469 scopus 로고
    • Branching particle systems and superprocesses
    • Dynkin, E.B.: Branching particle systems and superprocesses. Ann. Probab. 19, 1157-1194 (1991)
    • (1991) Ann. Probab. , vol.19 , pp. 1157-1194
    • Dynkin, E.B.1
  • 10
    • 0001658655 scopus 로고
    • Measure-valued branching diffusions with singular interactions
    • Evans, S.N., Perkins, E.A.: Measure-valued branching diffusions with singular interactions. Can. J. Math. 46(1), 120-168 (1994)
    • (1994) Can. J. Math. , vol.46 , Issue.1 , pp. 120-168
    • Evans, S.N.1    Perkins, E.A.2
  • 11
    • 0040028007 scopus 로고
    • Occupation time processes at a critical point
    • Fleischmann, K., Gärtner, J.: Occupation time processes at a critical point. Math. Nachr. 125, 275-290 (1986)
    • (1986) Math. Nachr. , vol.125 , pp. 275-290
    • Fleischmann, K.1    Gärtner, J.2
  • 13
    • 84968513739 scopus 로고
    • Limiting distributions for branching random fields
    • Fleischman, J.: Limiting distributions for branching random fields. TAMS 239, 353-389 (1978)
    • (1978) TAMS , vol.239 , pp. 353-389
    • Fleischman, J.1
  • 14
    • 0002473053 scopus 로고
    • A weighted occupation time for a class of measure-valued critical branching Brownian motions
    • Iscoe, I.: A weighted occupation time for a class of measure-valued critical branching Brownian motions. Probab. Theory Relat. Fields 71, 85-116 (1986)
    • (1986) Probab. Theory Relat. Fields , vol.71 , pp. 85-116
    • Iscoe, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.