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Volumn 27, Issue 3, 1999, Pages 1099-1134

Path properties of superprocesses with a general branching mechanism

Author keywords

Brownian snake; Exit measure; Hausdorff dimension; Hitting probabilities; Measure valued processes; Subordinator; Superprocesses

Indexed keywords


EID: 0033164058     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1022677441     Document Type: Article
Times cited : (6)

References (26)
  • 1
    • 0000252294 scopus 로고
    • On the connected components of super-Brownian motion and of its exit measure
    • ABRAHAM, R. (1995). On the connected components of super-Brownian motion and of its exit measure. Stochastic Process. Appl. 60 227-245.
    • (1995) Stochastic Process. Appl. , vol.60 , pp. 227-245
    • Abraham, R.1
  • 3
    • 0031512725 scopus 로고    scopus 로고
    • Spatial branching processes and subordination
    • BERTOIN, J., LE GALL, J.-F. and LE JAN, Y. (1997). Spatial branching processes and subordination. Canad. J. Math. 49 24-54.
    • (1997) Canad. J. Math. , vol.49 , pp. 24-54
    • Bertoin, J.1    Le Gall, J.-F.2    Le Jan, Y.3
  • 6
    • 0000361942 scopus 로고
    • Sample functions of stochastic processes with stationary independent increments
    • BLUMENTHAL, R. and GETOOR, R. (1961). Sample functions of stochastic processes with stationary independent increments. J. Math. Mechanics 10 493-516.
    • (1961) J. Math. Mechanics , vol.10 , pp. 493-516
    • Blumenthal, R.1    Getoor, R.2
  • 8
    • 0000441817 scopus 로고
    • Super-Brownian motion: Path properties and hitting probabilites
    • DAWSON, D. A., ISCOE, I. and PERKINS, E. (1989). Super-Brownian motion: path properties and hitting probabilites. 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.3
  • 10
    • 0000466469 scopus 로고
    • Branching particle systems and superprocesses
    • DYNKIN, E. (1991). Branching particle systems and superprocesses. Ann. Probab. 19 1157-1194.
    • (1991) Ann. Probab. , vol.19 , pp. 1157-1194
    • Dynkin, E.1
  • 11
    • 0002218711 scopus 로고
    • A probabilistic approach to one class of nonlinear differential equations
    • DYNKIN, E. (1991). A probabilistic approach to one class of nonlinear differential equations. Probab. Theory Related Fields 89 89-115.
    • (1991) Probab. Theory Related Fields , vol.89 , pp. 89-115
    • Dynkin, E.1
  • 14
    • 51849181398 scopus 로고
    • Construction and regularity of measure-valued Markov branching processes
    • FITZSIMMONS, P. (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.1
  • 15
    • 84985396227 scopus 로고
    • Critical behavior of some measure-valued processes
    • FLEISCHMANN, K. (1988). Critical behavior of some measure-valued processes. Math. Nachr. 135 131-147.
    • (1988) Math. Nachr. , vol.135 , pp. 131-147
    • Fleischmann, K.1
  • 16
    • 0000312121 scopus 로고
    • Sample functions of stochastic processes with stationary independent increments
    • Dekker, New York
    • FRISTEDT, B. (1974). Sample functions of stochastic processes with stationary independent increments. In Advances in Probability 3 241-396. Dekker, New York.
    • (1974) Advances in Probability , vol.3 , pp. 241-396
    • Fristedt, B.1
  • 17
    • 21144484919 scopus 로고
    • A class of path-valued Markov processes and its applications to superprocesses
    • LE GALL, J.-F. (1993). A class of path-valued Markov processes and its applications to superprocesses. Probab. Theory Related Fields 95 25-46.
    • (1993) Probab. Theory Related Fields , vol.95 , pp. 25-46
    • Le Gall, J.-F.1
  • 18
    • 0000609263 scopus 로고
    • A path-valued Markov process and its connections with partial differential equations
    • Birkhäuser, Boston
    • LE GALL, J.-F. (1994). A path-valued Markov process and its connections with partial differential equations. In Proceedings in First European Congress of Mathematics 2 185-212. Birkhäuser, Boston.
    • (1994) Proceedings in First European Congress of Mathematics , vol.2 , pp. 185-212
    • Le Gall, J.-F.1
  • 20
    • 0009238421 scopus 로고
    • A space-time property of a class of measure-valued branching diffusions
    • PERKINS, E. (1988). A space-time property of a class of measure-valued branching diffusions. Trans. Amer. Math. Soc. 305 743-795.
    • (1988) Trans. Amer. Math. Soc. , vol.305 , pp. 743-795
    • Perkins, E.1
  • 21
    • 0009239458 scopus 로고
    • The Hausdorff measure of the closed support of super-Brownian motion
    • PERKINS, E. (1989). The Hausdorff measure of the closed support of super-Brownian motion. Ann. Inst. H. Poincaré 25 205-224.
    • (1989) Ann. Inst. H. Poincaré , vol.25 , pp. 205-224
    • Perkins, E.1
  • 26
    • 0009303392 scopus 로고
    • The connected components of the closed support of super-Brownian motion
    • TRIBE, R. (1991). The connected components of the closed support of super-Brownian motion. Probab. Theory Related Fields 89 75-87.
    • (1991) Probab. Theory Related Fields , vol.89 , pp. 75-87
    • Tribe, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.