메뉴 건너뛰기




Volumn 46, Issue 2, 2009, Pages 479-496

L log L criterion for a class of superdiffusions

Author keywords

Diffusions; Kesten stigum theorem; Martingale; Martingale change of measure; Poisson point process; Superdiffusions

Indexed keywords


EID: 67949102155     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1239/jap/1245676101     Document Type: Article
Times cited : (34)

References (17)
  • 1
    • 34250386670 scopus 로고
    • Strong limit theorems for general supercritical branching processes with applications to branching diffusions
    • ASMUSSEN, S. AND HERING, H. (1976). Strong limit theorems for general supercritical branching processes with applications to branching diffusions. Z. Wahrscheinlichkeitsth. 36, 195-212.
    • (1976) Z. Wahrscheinlichkeitsth , vol.36 , pp. 195-212
    • ASMUSSEN, S.1    HERING, H.2
  • 2
    • 3142665516 scopus 로고    scopus 로고
    • Measure change in multitype branching
    • BIGGINS, J.D. AND KYPRIANOU, A.E. (2004). Measure change in multitype branching. Adv. Appl. Prob. 36, 544-581.
    • (2004) Adv. Appl. Prob , vol.36 , pp. 544-581
    • BIGGINS, J.D.1    KYPRIANOU, A.E.2
  • 4
    • 0001417178 scopus 로고
    • Superprocesses and partial differential equations
    • DYNKIN, E.B. (1993). Superprocesses and partial differential equations. Ann. Prob. 21, 1185-1262.
    • (1993) Ann. Prob , vol.21 , pp. 1185-1262
    • DYNKIN, E.B.1
  • 5
    • 17144459686 scopus 로고    scopus 로고
    • Local extinction versus local exponential growth for spatial branching processes
    • ENGLÄNDER, J. AND KYPRIANOU, A.E. (2004). Local extinction versus local exponential growth for spatial branching processes. Ann. Prob. 32, 78-99.
    • (2004) Ann. Prob , vol.32 , pp. 78-99
    • ENGLÄNDER, J.1    KYPRIANOU, A.E.2
  • 6
    • 84971790772 scopus 로고
    • Two representations of a conditioned superprocess
    • EVANS, S.N. (1992). Two representations of a conditioned superprocess. Proc. R. Soc. Edinburgh A 123, 959-971.
    • (1992) Proc. R. Soc. Edinburgh A , vol.123 , pp. 959-971
    • EVANS, S.N.1
  • 7
    • 61749088970 scopus 로고    scopus 로고
    • Measure changes with extinction
    • HARRIS, S.C. AND ROBERTS, M. (2008). Measure changes with extinction. Statist. Prob. Lett. 79, 1129-1133.
    • (2008) Statist. Prob. Lett , vol.79 , pp. 1129-1133
    • HARRIS, S.C.1    ROBERTS, M.2
  • 8
    • 0002508627 scopus 로고
    • A limit theorem for multidimensional Galton-Watson process
    • KESTEN, H. AND STIGUM, B.P. (1966). A limit theorem for multidimensional Galton-Watson process. Ann. Math. Statist. 37, 1211-1223.
    • (1966) Ann. Math. Statist , vol.37 , pp. 1211-1223
    • KESTEN, H.1    STIGUM, B.P.2
  • 9
    • 59649124494 scopus 로고    scopus 로고
    • Intrinsic ultracontractivity of non-symmetric diffusion semigroups in bounded domains
    • KIM, P. AND SONG, R. (2008). Intrinsic ultracontractivity of non-symmetric diffusion semigroups in bounded domains. Tohoku Math. J. 60, 527-547.
    • (2008) Tohoku Math. J , vol.60 , pp. 527-547
    • KIM, P.1    SONG, R.2
  • 10
    • 42349085923 scopus 로고    scopus 로고
    • Intrinsic ultracontractivity of nonsymmetric diffusions with measure-valued drifts and potentials
    • KIM, P. AND SONG, R. (2008). Intrinsic ultracontractivity of nonsymmetric diffusions with measure-valued drifts and potentials. Ann. Prob. 36, 1904-1945.
    • (2008) Ann. Prob , vol.36 , pp. 1904-1945
    • KIM, P.1    SONG, R.2
  • 11
    • 59349119766 scopus 로고    scopus 로고
    • Intrinsic ultracontractivity for non-symmetric Lévy processes
    • KIM, P. AND SONG, R. (2009). Intrinsic ultracontractivity for non-symmetric Lévy processes. Forum Math. 21, 43-66.
    • (2009) Forum Math , vol.21 , pp. 43-66
    • KIM, P.1    SONG, R.2
  • 12
    • 67949103171 scopus 로고    scopus 로고
    • KURTZ, T., LYONS, R., PEMANTLE, R. AND PERES, Y. (1997). A conceptual proof of the Kesten-Sigum theorem for multi-type branching processes. In Classical and Modern Branching processes (Minneapolis, 1994; IMA Math. Appl. 84), eds K.B. Athreya and P. Jagers, Springer, New York, pp. 181-186.
    • KURTZ, T., LYONS, R., PEMANTLE, R. AND PERES, Y. (1997). A conceptual proof of the Kesten-Sigum theorem for multi-type branching processes. In Classical and Modern Branching processes (Minneapolis, 1994; IMA Vol. Math. Appl. 84), eds K.B. Athreya and P. Jagers, Springer, New York, pp. 181-186.
  • 13
    • 67949118270 scopus 로고    scopus 로고
    • LYONS, R. (1997). A simple path to Biggins' martingale convergence for branching random walk. In Classical and Modern Branching processes (Minneapolis, 1994; IMA Math. Appl. 84), eds K.B. Athreya and P. lagers, Springer, New York, pp. 217-222.
    • LYONS, R. (1997). A simple path to Biggins' martingale convergence for branching random walk. In Classical and Modern Branching processes (Minneapolis, 1994; IMA Vol. Math. Appl. 84), eds K.B. Athreya and P. lagers, Springer, New York, pp. 217-222.
  • 14
    • 0000028988 scopus 로고
    • Conceptual proofs of L log L criteria for mean behavior of branching processes
    • LYONS, R., PEMANTLE, R. AND PERES, Y. (1995). Conceptual proofs of L log L criteria for mean behavior of branching processes. Ann. Prob. 23, 1125-1138.
    • (1995) Ann. Prob , vol.23 , pp. 1125-1138
    • LYONS, R.1    PEMANTLE, R.2    PERES, Y.3
  • 17


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.