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Volumn 24, Issue 2, 1996, Pages 743-760

Nonlinear superprocesses

Author keywords

Branching measure valued diffusions; Mckean vlasov processes; Nonlinear martingale problems; Superprocesses

Indexed keywords


EID: 0030488884     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1039639360     Document Type: Article
Times cited : (6)

References (15)
  • 1
    • 0002275662 scopus 로고
    • Measure-valued Markov processes. Ecole d'Eté de Probabilités de Saint Flour
    • Springer, Berlin
    • DAWSON, D. A. (1993). Measure-valued Markov processes. Ecole d'Eté de Probabilités de Saint Flour. Lecture Notes in Math. 1541 1-260. Springer, Berlin.
    • (1993) Lecture Notes in Math. , vol.1541 , pp. 1-260
    • Dawson, D.A.1
  • 3
    • 0003016819 scopus 로고
    • Path processes and historical superprocesses
    • DYNKIN, E. B. (1991). Path processes and historical superprocesses. Probab. Theory Related Fields 90 1-36.
    • (1991) Probab. Theory Related Fields , vol.90 , pp. 1-36
    • Dynkin, E.B.1
  • 4
    • 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
  • 5
    • 21344446307 scopus 로고
    • Explicit stochastic integral representation for historical functionals
    • EVANS, S. N. and PERKINS, E. A. (1995). Explicit stochastic integral representation for historical functionals. Ann. Probab. 23 1772-1815.
    • (1995) Ann. Probab. , vol.23 , pp. 1772-1815
    • Evans, S.N.1    Perkins, E.A.2
  • 6
    • 0009088163 scopus 로고
    • A certain class of diffusion processes associated with nonlinear equations
    • FUNAKI, T. (1984). A certain class of diffusion processes associated with nonlinear equations. Z. Wahrsch. Verw. Gebiete 67 331-348.
    • (1984) Z. Wahrsch. Verw. Gebiete , vol.67 , pp. 331-348
    • Funaki, T.1
  • 7
    • 0000112160 scopus 로고
    • Brownian excursions, trees and measure-valued branching processes
    • LE GALL, J. F. (1991). Brownian excursions, trees and measure-valued branching processes. Ann. Probab. 19 1399-1439.
    • (1991) Ann. Probab. , vol.19 , pp. 1399-1439
    • Le Gall, J.F.1
  • 8
    • 0040554658 scopus 로고
    • A martingale approach to the law of large numbers for weakly interacting stochastic processes
    • OELSCHLÄGER, K. (1984). A martingale approach to the law of large numbers for weakly interacting stochastic processes. Ann. Prob. 12 458-479.
    • (1984) Ann. Prob. , vol.12 , pp. 458-479
    • Oelschläger, K.1
  • 11
    • 21144475878 scopus 로고
    • Measure-valued branching diffusions with spatial interactions
    • PERKINS, E. A. (1992). Measure-valued branching diffusions with spatial interactions. Probab. Theory Related Fields 94 189-245.
    • (1992) Probab. Theory Related Fields , vol.94 , pp. 189-245
    • Perkins, E.A.1
  • 12
    • 0000833829 scopus 로고
    • On the martingale problem for interactive measure-valued branching diffusions
    • To appear
    • PERKINS, E. A. (1995). On the martingale problem for interactive measure-valued branching diffusions. Mem. Amer. Math. Soc. To appear.
    • (1995) Mem. Amer. Math. Soc.
    • Perkins, E.A.1
  • 14
    • 0001293553 scopus 로고
    • Nonlinear reflecting diffusion processes and the propagation of chaos and fluctuations associated
    • SZNITMAN, A. S. (1984). Nonlinear reflecting diffusion processes and the propagation of chaos and fluctuations associated. J. Funct. Anal. 56 311-386.
    • (1984) J. Funct. Anal. , vol.56 , pp. 311-386
    • Sznitman, A.S.1
  • 15
    • 0001105004 scopus 로고
    • Topics in propagation of chaos. Ecole d'Eté de Probabilités de Saint-Flour XIX
    • Springer, Berlin
    • SZNITMAN, A. S. (1991). Topics in propagation of chaos. Ecole d'Eté de Probabilités de Saint-Flour XIX. Lecture Notes in Math. 1464. Springer, Berlin.
    • (1991) Lecture Notes in Math. , vol.1464
    • Sznitman, A.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.