메뉴 건너뛰기




Volumn 30, Issue 3, 1998, Pages 657-675

Immigration processes associated with branching particle systems

Author keywords

Branching particle system; Convergence; Dawson Watanabe superprocess; Entrance law; Immigration; Minimal Brownian motion; Skew convolution semigroup

Indexed keywords


EID: 0000694692     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0001867800008533     Document Type: Article
Times cited : (22)

References (21)
  • 1
    • 0009253017 scopus 로고
    • Langevin equation for S′-valued Gaussian processes and fluctuation limits of infinite particle system
    • BOJDECKI, T. AND GOROSTIZA, L. G. (1986). Langevin equation for S′-valued Gaussian processes and fluctuation limits of infinite particle system. Prob. Theory Rel. Fields 73, 227-244.
    • (1986) Prob. Theory Rel. Fields , vol.73 , pp. 227-244
    • Bojdecki, T.1    Gorostiza, L.G.2
  • 3
    • 0002275662 scopus 로고
    • Measure-valued Markov Processes
    • Springer, Berlin
    • DAWSON, D. A. (1993). Measure-valued Markov Processes. In Lecture Notes in Mathematics 1541. Springer, Berlin.
    • (1993) Lecture Notes in Mathematics , vol.1541
    • Dawson, D.A.1
  • 4
    • 0009968617 scopus 로고
    • Branching diffusions and random measures
    • ed. A. Joffe and P. Ney. Marcel Dekker, New York
    • DAWSON, D. A. AND IVANOFF, D. (1978). Branching diffusions and random measures. Advances in Probability and Related Topics 5, ed. A. Joffe and P. Ney. Marcel Dekker, New York, pp. 61-103.
    • (1978) Advances in Probability and Related Topics 5 , pp. 61-103
    • Dawson, D.A.1    Ivanoff, D.2
  • 5
    • 0002516514 scopus 로고
    • Three classes of infinite dimensional diffusion processes
    • DYNKIN, E. B. (1989). Three classes of infinite dimensional diffusion processes. J. Funct. Anal. 86, 75-110.
    • (1989) J. Funct. Anal. , vol.86 , pp. 75-110
    • Dynkin, E.B.1
  • 6
    • 0000466469 scopus 로고
    • Branching particle systems and superprocesses
    • DYNKIN, E. B. (1991). Branching particle systems and superprocesses. Ann. Prob. 19, 1157-1194.
    • (1991) Ann. Prob. , vol.19 , pp. 1157-1194
    • Dynkin, E.B.1
  • 8
    • 51849181398 scopus 로고
    • Construction and regularity of measure-valued Markov branching processes
    • FITZSIMMONS, P. J. (1988). Construction and regularity of measure-valued Markov branching processes. Israel J. Math. 64, 337-361.
    • (1988) Israel J. Math. , vol.64 , pp. 337-361
    • Fitzsimmons, P.J.1
  • 10
    • 38249032041 scopus 로고
    • Limit theorems for supercritical branching random fields with immigration
    • GOROSTIZA, L. G. (1988). Limit theorems for supercritical branching random fields with immigration. Adv. Appl. Math. 9, 56-86.
    • (1988) Adv. Appl. Math. , vol.9 , pp. 56-86
    • Gorostiza, L.G.1
  • 12
    • 0346023287 scopus 로고
    • Brownian exit distribution of a ball
    • HSU, P. (1986). Brownian exit distribution of a ball. In Seminar on Stochastic Processes, pp. 108-116.
    • (1986) Seminar on Stochastic Processes , pp. 108-116
    • Hsu, P.1
  • 13
    • 0542399426 scopus 로고
    • The branching diffusion with immigration
    • IVANOFF, D. (1981). The branching diffusion with immigration. J. Appl. Prob. 17, 1-15.
    • (1981) J. Appl. Prob. , vol.17 , pp. 1-15
    • Ivanoff, D.1
  • 15
    • 0001967068 scopus 로고
    • Integral representations of continuous functions
    • LI, Z. H. (1991). Integral representations of continuous functions. Chinese Sci. Bull. 36, 979-983.
    • (1991) Chinese Sci. Bull. , vol.36 , pp. 979-983
    • Li, Z.H.1
  • 16
    • 38249007771 scopus 로고
    • Measure-valued branching processes with immigration
    • LI, Z. H. (1992). Measure-valued branching processes with immigration. Stoch. Proc. Appl. 43, 249-264.
    • (1992) Stoch. Proc. Appl. , vol.43 , pp. 249-264
    • Li, Z.H.1
  • 17
    • 0010007119 scopus 로고    scopus 로고
    • Convolution semigroups associated with measure-valued branching processes
    • LI, Z. H. (1996a). Convolution semigroups associated with measure-valued branching processes. Chinese Sci. Bull. 41, 276-280.
    • (1996) Chinese Sci. Bull. , vol.41 , pp. 276-280
    • Li, Z.H.1
  • 18
    • 0030095144 scopus 로고    scopus 로고
    • Immigration structures associated with Dawson-Watanabe superprocesses
    • LI, Z. H. (1996b). Immigration structures associated with Dawson-Watanabe superprocesses. Stoch. Proc. Appl. 62, 73-86.
    • (1996) Stoch. Proc. Appl. , vol.62 , pp. 73-86
    • Li, Z.H.1
  • 19
    • 0000778298 scopus 로고
    • Measure-valued branching diffusions: Immigrations, excursions and limit theorems
    • LI, Z. H. AND SHIGA, T. (1995). Measure-valued branching diffusions: immigrations, excursions and limit theorems. J. Math. Kyoto Univ. 35, 233-274.
    • (1995) J. Math. Kyoto Univ. , vol.35 , pp. 233-274
    • Li, Z.H.1    Shiga, T.2
  • 21
    • 0001431788 scopus 로고
    • A stochastic equation based on a Poisson system for a class of measure-valued diffusion processes
    • SHIGA, T. (1990). A stochastic equation based on a Poisson system for a class of measure-valued diffusion processes. J. Math. Kyoto Univ. 30, 245-279.
    • (1990) J. Math. Kyoto Univ. , vol.30 , pp. 245-279
    • Shiga, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.