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Volumn 26, Issue 3, 1998, Pages 1041-1056

Kolmogorov's test for super-Brownian motion

Author keywords

Brownian snake; Exit measure; Kolmogorov test; Semilinear partial differential equation; Super Brownian motion

Indexed keywords


EID: 0032362089     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1022855744     Document Type: Article
Times cited : (8)

References (16)
  • 1
    • 84972536289 scopus 로고
    • On the Lipschitz condition for Brownian motion
    • CHUNG, K. L., ERDÖS, P. and SIRAO, T. (1959). On the Lipschitz condition for Brownian motion. J. Math. Soc. Japan 11 263-274.
    • (1959) J. Math. Soc. Japan , vol.11 , pp. 263-274
    • Chung, K.L.1    Erdös, P.2    Sirao, T.3
  • 2
    • 0030188217 scopus 로고    scopus 로고
    • High-density limits of hierarchically structured branching-diffusion populations
    • DAWSON, D. A., HOCHBERG, K. J. and VINOGRADOV, V. (1996). High-density limits of hierarchically structured branching-diffusion populations. Stochastic Process. Appl. 62 191-222.
    • (1996) Stochastic Process. Appl. , vol.62 , pp. 191-222
    • Dawson, D.A.1    Hochberg, K.J.2    Vinogradov, V.3
  • 3
    • 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
  • 4
    • 0011676630 scopus 로고
    • Almost sure path properties of (2, d, β)-super-processes
    • DAWSON, D. A. and VINOGRADOV, V. (1994). Almost sure path properties of (2, d, β)-super-processes. Stochastic Process. Appl. 51 221-258.
    • (1994) Stochastic Process. Appl. , vol.51 , pp. 221-258
    • Dawson, D.A.1    Vinogradov, V.2
  • 7
    • 0040587295 scopus 로고    scopus 로고
    • Wiener's test for super-Brownian motion and the Brownian snake
    • DHERSIN, J. S. and LE GALL, J. F. (1997). Wiener's test for super-Brownian motion and the Brownian snake. Probab. Theory Related Fields 108 103-129.
    • (1997) Probab. Theory Related Fields , vol.108 , pp. 103-129
    • Dhersin, J.S.1    Le Gall, J.F.2
  • 8
    • 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
  • 9
    • 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
  • 10
    • 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
  • 12
    • 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
  • 13
    • 0000609263 scopus 로고
    • A path-valued Markov process and its connections with partial differential equations
    • (A. Joseph, F. Mignot, F. Murat, B. Prum and R. Rentschler, eds.) Birkhäuser, Boston
    • LE GALL, J. F. (1994). A path-valued Markov process and its connections with partial differential equations. In: Proceedings of the First European Congress of Mathematics (A. Joseph, F. Mignot, F. Murat, B. Prum and R. Rentschler, eds.) 2 185-212. Birkhäuser, Boston.
    • (1994) Proceedings of the First European Congress of Mathematics , vol.2 , pp. 185-212
    • Le Gall, J.F.1
  • 15
    • 21344440726 scopus 로고
    • The Hausdorff measure of the support of two-dimensional super-Brownian motion
    • LE GALL, J. F. and PERKINS, E. A. (1995). The Hausdorff measure of the support of two-dimensional super-Brownian motion. Ann. Probab. 23 1719-1747.
    • (1995) Ann. Probab. , vol.23 , pp. 1719-1747
    • Le Gall, J.F.1    Perkins, E.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.