메뉴 건너뛰기




Volumn 114, Issue 4, 1999, Pages 505-547

Some properties of the range of super-Brownian motion

Author keywords

Brownian snake; Capacity equivalence; Hitting probabilities; Integrated super Brownian excursion; Measure valued process; Superprocesses

Indexed keywords


EID: 0033175322     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400050233     Document Type: Article
Times cited : (14)

References (19)
  • 1
    • 21344477318 scopus 로고
    • Tree based models for random distribution of mass
    • Aldous, D.: Tree based models for random distribution of mass. J. Statist. Phys. 73(3-4), 625-641 (1993).
    • (1993) J. Statist. Phys. , vol.73 , Issue.3-4 , pp. 625-641
    • Aldous, D.1
  • 3
    • 0032362767 scopus 로고    scopus 로고
    • The scaling limit of lattice trees in high dimension
    • Derbez, E., Slade, G.: The scaling limit of lattice trees in high dimension. Commun. Math. Phys. 193(1), 60-104 (1998)
    • (1998) Commun. Math. Phys. , vol.193 , Issue.1 , pp. 60-104
    • Derbez, E.1    Slade, G.2
  • 4
    • 0031093268 scopus 로고    scopus 로고
    • Lattice trees and super-Brownian motion
    • Derbez, E., Slade, G.: Lattice trees and super-Brownian motion. Canad. Math. Bull. 40(1), 19-38 (1997)
    • (1997) Canad. Math. Bull. , vol.40 , Issue.1 , pp. 19-38
    • Derbez, E.1    Slade, G.2
  • 5
    • 0001599957 scopus 로고
    • Representation for functionals of superprocesses by multiple stochastic integrals, with application to self-intersection local times
    • Dynkin, E.: Representation for functionals of superprocesses by multiple stochastic integrals, with application to self-intersection local times. Astérisque 157-158, 1147-1171 (1988)
    • (1988) Astérisque , vol.157-158 , pp. 1147-1171
    • Dynkin, E.1
  • 6
    • 0000466469 scopus 로고
    • Branching particle systems and superprocesses
    • Dynkin, E.: Branching particle systems and superprocesses. Ann. Probab. 19, 1157-1194 (1991)
    • (1991) Ann. Probab. , vol.19 , pp. 1157-1194
    • Dynkin, E.1
  • 7
    • 0002218711 scopus 로고
    • A probabilistic approach to one class of nonlinear differential equations
    • Dynkin, E.: A probabilistic approach to one class of nonlinear differential equations. Probab. Th. Rel. Fields 89, 89-115 (1991)
    • (1991) Probab. Th. Rel. Fields , vol.89 , pp. 89-115
    • Dynkin, E.1
  • 8
    • 0003619753 scopus 로고
    • An introduction to branching measure-valued processes, volume 6 of CRM monograph series
    • Providence
    • Dynkin, E.: An introduction to branching measure-valued processes, volume 6 of CRM Monograph series. Amer. Math. Soc., Providence (1994)
    • (1994) Amer. Math. Soc. , vol.6
    • Dynkin, E.1
  • 9
    • 21144484919 scopus 로고
    • A class of path-valued Markov processes and its applications to superprocesses
    • Le Gall, J.-F.: A class of path-valued Markov processes and its applications to superprocesses. Probab. Th. Rel. Fields 95, 25-46 (1993)
    • (1993) Probab. Th. Rel. Fields , vol.95 , pp. 25-46
    • Le Gall, J.-F.1
  • 10
    • 21144463139 scopus 로고
    • The uniform random tree in a Brownian excursion
    • Le Gall, J.-F.: The uniform random tree in a Brownian excursion. Probab. Th. Rel. Fields 96, 369-383 (1993)
    • (1993) Probab. Th. Rel. Fields , vol.96 , pp. 369-383
    • Le Gall, J.-F.1
  • 11
    • 0013198032 scopus 로고
    • Hitting probabilities and potential theory for the Brownian path-valued process
    • Le Gall, J.-F.: Hitting probabilities and potential theory for the Brownian path-valued process. Ann. Inst. Four. 44, 277-306 (1994)
    • (1994) Ann. Inst. Four. , vol.44 , pp. 277-306
    • Le Gall, J.-F.1
  • 12
    • 0000609263 scopus 로고
    • A path-valued Markov process and its connections with partial differential equations
    • Birkhäuser, Boston
    • Le Gall, J.-F.: A path-valued Markov process and its connections with partial differential equations. In Proceedings in First European Congress of Mathematics, volume II, pages 185-212. Birkhäuser, Boston (1994)
    • (1994) Proceedings in First European Congress of Mathematics , vol.2 , pp. 185-212
    • Le Gall, J.-F.1
  • 13
    • 85033951554 scopus 로고    scopus 로고
    • Personal communication
    • Le Gall, J.-F.: Personal communication
    • Le Gall, J.-F.1
  • 14
    • 0000384770 scopus 로고
    • Galton-Watson trees with the same mean have the same polar sets
    • Pemantle, R., Peres, Y.: Galton-Watson trees with the same mean have the same polar sets. Ann. Probab. 23(3), 1102-1124 (1995)
    • (1995) Ann. Probab. , vol.23 , Issue.3 , pp. 1102-1124
    • Pemantle, R.1    Peres, Y.2
  • 15
    • 0000918994 scopus 로고    scopus 로고
    • The trace of spatial Brownian motion is capacity-equivalent to the unit square
    • Pemantle, R., Peres, Y., Shapiro, J. W.: The trace of spatial Brownian motion is capacity-equivalent to the unit square. Probab. Th. Rel. Fields, 106(3), 379-400 (1996)
    • (1996) Probab. Th. Rel. Fields , vol.106 , Issue.3 , pp. 379-400
    • Pemantle, R.1    Peres, Y.2    Shapiro, J.W.3
  • 16
    • 0040847222 scopus 로고
    • The strong Markov property of the support of super-Brownian motion
    • Boston. Birkhäuser
    • Perkins, E.A.: The strong Markov property of the support of super-Brownian motion. In The Dynkin Festschrift, volume 34 of Progr. Probab., pages 307-326, Boston, 1994. Birkhäuser
    • (1994) The Dynkin Festschrift, Volume 34 of Progr. Probab. , vol.34 , pp. 307-326
    • Perkins, E.A.1
  • 19
    • 0040252727 scopus 로고
    • A representation for super-Brownian motion
    • Tribe, R.: A representation for super-Brownian motion. Stoch. Process. and Appl. 51, 207-219 (1994)
    • (1994) Stoch. Process. and Appl. , vol.51 , pp. 207-219
    • Tribe, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.