메뉴 건너뛰기




Volumn 106, Issue 1, 2003, Pages 141-165

Extinction versus exponential growth in a supercritical super-Wright-Fisher diffusion

Author keywords

Binary splitting; Compensated h transform; Finite ancestry property; Semilinear Cauchy problem; Trimmed tree; Weighted superprocess

Indexed keywords


EID: 0038811736     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(03)00043-7     Document Type: Article
Times cited : (6)

References (17)
  • 1
    • 0002275662 scopus 로고
    • Measure-valued Markov processes
    • P. Hennequin (Ed.), Berlin: Springer 1541 École d'été de probabilités de Saint Flour XXI-1991
    • Dawson D. Measure-valued Markov processes Hennequin P. (Ed.), École d'été de probabilités de Saint Flour XXI-1991 Lecture Notes in Mathematics Vol. 1541 1993 1-260 Springer Berlin
    • (1993) Lecture Notes in Mathematics , pp. 1-260
    • Dawson, D.1
  • 2
    • 0037650454 scopus 로고    scopus 로고
    • Diffusions, Superdiffusions and Partial Differential Equations
    • Providence, RI: American Mathematical Society
    • Dynkin E. Diffusions, Superdiffusions and Partial Differential Equations American Mathematical Society Colloquium Publications Vol. 50 2002 American Mathematical Society Providence, RI
    • (2002) American Mathematical Society Colloquium Publications , vol.50
    • Dynkin, E.1
  • 3
    • 24544442203 scopus 로고    scopus 로고
    • Local extinction versus local exponential growth for spatial branching processes
    • To appear
    • Engländer, J., Kyprianou, A., 2003. Local extinction versus local exponential growth for spatial branching processes. Ann. Probab., to appear.
    • (2003) Ann. Probab.
    • Engländer, J.1    Kyprianou, A.2
  • 4
    • 0038934377 scopus 로고    scopus 로고
    • d with spatially dependent branching
    • d with spatially dependent branching Ann. Probab. 27 1 1999 684-730
    • (1999) Ann. Probab. , vol.27 , Issue.1 , pp. 684-730
    • Engländer, J.1    Pinsky, R.2
  • 5
    • 0036018201 scopus 로고    scopus 로고
    • A scaling limit for a class of superdiffusions
    • Engländer J. Turaev D. A scaling limit for a class of superdiffusions Ann. Probab. 30 2 2002 683-722
    • (2002) Ann. Probab. , vol.30 , Issue.2 , pp. 683-722
    • Engländer, J.1    Turaev, D.2
  • 6
    • 0004266188 scopus 로고    scopus 로고
    • An Introduction to Superprocesses
    • University Lecture Series, American Mathematical Society (AMS), Providence, RI
    • Etheridge, A., 2000. An Introduction to Superprocesses. University Lecture Series, Vol. 20. American Mathematical Society (AMS), Providence, RI.
    • (2000) , vol.20
    • Etheridge, A.1
  • 8
    • 51849181398 scopus 로고
    • Construction and regularity of measure-valued branching processes
    • Fitzsimmons P. Construction and regularity of measure-valued branching processes Israel J. Math. 64 3 1988 337-361
    • (1988) Israel J. Math. , vol.64 , Issue.3 , pp. 337-361
    • Fitzsimmons, P.1
  • 9
    • 0037650449 scopus 로고
    • Correction to "Construction and regularity of measure-valued branching processes"
    • Fitzsimmons P. Correction to "Construction and regularity of measure-valued branching processes" Israel J. Math. 73 1 1991-127
    • (1991) Israel J. Math. , vol.73 , Issue.1 , pp. 127
    • Fitzsimmons, P.1
  • 10
    • 0010006644 scopus 로고
    • On the martingale problem for measure-valued Markov branching processes
    • Birkhäuser, Boston
    • Fitzsimmons, P., 1992. On the martingale problem for measure-valued Markov branching processes. In: Seminar on Stochastic Processes, 1991; Progress in Probability, Vol. 29. Birkhäuser, Boston, pp. 39-51.
    • (1991) Seminar on Stochastic Processes, Progress in Probability , vol.29 , pp. 39-51
    • Fitzsimmons, P.1
  • 11
    • 4243357032 scopus 로고    scopus 로고
    • Trimmed trees and embedded particle systems
    • Preprint No. 793, WIAS, Berlin
    • Fleischmann, K., Swart, J., 2002. Trimmed trees and embedded particle systems. Preprint No. 793, WIAS, Berlin.
    • (2002)
    • Fleischmann, K.1    Swart, J.2
  • 12
    • 0038325980 scopus 로고    scopus 로고
    • Renormalization analysis of catalytic Wright-Fisher diffusions
    • In preparation
    • Fleischmann, K., Swart, J., 2003. Renormalization analysis of catalytic Wright-Fisher diffusions, in preparation.
    • (2003)
    • Fleischmann, K.1    Swart, J.2
  • 17
    • 0003233281 scopus 로고
    • Shock Waves and Reaction-diffusion Equations
    • Springer, New York
    • Smoller, J., 1983/1994. Shock Waves and Reaction-diffusion Equations. Grundlehren Math Wiss. Vol. 258. Springer, New York.
    • (1983) Grundlehren Math Wiss. , vol.258
    • Smoller, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.