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Volumn 122, Issue 1, 2002, Pages 42-70

The genealogy of continuous-state branching processes with immigration

Author keywords

Continuous state branching process with immigration; Excursion measure; Genealogy; Height process; L vy process

Indexed keywords


EID: 0036002990     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400100155     Document Type: Article
Times cited : (34)

References (25)
  • 1
    • 0002436339 scopus 로고
    • Sur la décomposition de la trajectoire d'un processus de Lévy spectralement positif en son infimum
    • Bertoin, J.: Sur la décomposition de la trajectoire d'un processus de Lévy spectralement positif en son infimum, Ann. Inst. H. Poincaré. 27, 537-547 (1991)
    • (1991) Ann. Inst. H. Poincaré , vol.27 , pp. 537-547
    • Bertoin, J.1
  • 2
    • 0000610019 scopus 로고
    • An extension of Pitman's theorem for spectrally positive Lévy processes
    • Bertoin, J.: An extension of Pitman's theorem for spectrally positive Lévy processes, Ann. Probab. 20, 1464-1483 (1992)
    • (1992) Ann. Probab. , vol.20 , pp. 1464-1483
    • Bertoin, J.1
  • 3
    • 38249002282 scopus 로고
    • Splitting at the infimum and excursions in half-lines for random walks and Lévy processes
    • Bertoin, J.: Splitting at the infimum and excursions in half-lines for random walks and Lévy processes, Stoch. Proc. Appl. 47, 17-35 (1993)
    • (1993) Stoch. Proc. Appl. , vol.47 , pp. 17-35
    • Bertoin, J.1
  • 4
    • 0004044694 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge
    • Bertoin, J.: Lévy processes. Cambridge University Press, Cambridge (1996)
    • (1996) Lévy Processes
    • Bertoin, J.1
  • 5
    • 0031285159 scopus 로고    scopus 로고
    • Exponential decay and ergodicity of completely asymmetric Lévy processes in a finite interval
    • Bertoin, J.: Exponential decay and ergodicity of completely asymmetric Lévy processes in a finite interval, Ann. Appl. Prob. 7, 156-169 (1997)
    • (1997) Ann. Appl. Prob. , vol.7 , pp. 156-169
    • Bertoin, J.1
  • 6
    • 0034396569 scopus 로고    scopus 로고
    • The Bolthausen-Sznitman coalescent and the genealogy of continuous-state branching processes
    • Bertoin, J., Le Gall, J.F.: The Bolthausen-Sznitman coalescent and the genealogy of continuous-state branching processes, Probab. Theory Relat. Fields 117, 249-266 (2000)
    • (2000) Probab. Theory Relat. Fields , vol.117 , pp. 249-266
    • Bertoin, J.1    Le Gall, J.F.2
  • 7
    • 0016645863 scopus 로고
    • Fluctuation theory in continuous time
    • Bingham, N.H.: Fluctuation theory in continuous time. Adv. in Appl. Probab. 7, 705-766 (1975)
    • (1975) Adv. in Appl. Probab. , vol.7 , pp. 705-766
    • Bingham, N.H.1
  • 9
    • 0001324777 scopus 로고
    • Sur certains processus de Lévy conditionnés à rester positifs
    • Chaumont, L.: Sur certains processus de Lévy conditionnés à rester positifs, Stochastics Stoch. Reports 47, 1-20 (1994)
    • (1994) Stochastics Stoch. Reports , vol.47 , pp. 1-20
    • Chaumont, L.1
  • 10
    • 0030295813 scopus 로고    scopus 로고
    • Conditionings and path decompositions for Lévy processes
    • Chaumont, L.: Conditionings and path decompositions for Lévy processes, Stoch. Proc. Appl. 64, 39-54 (1996)
    • (1996) Stoch. Proc. Appl. , vol.64 , pp. 39-54
    • Chaumont, L.1
  • 11
    • 0001050284 scopus 로고
    • Poisson point processes attached to Markov processes
    • U. of California Press
    • Itô, K.: Poisson point processes attached to Markov processes, Proc. Sixth Berkeley Symp. vol. III 225-240. U. of California Press (1971)
    • (1971) Proc. Sixth Berkeley Symp. , vol.3 , pp. 225-240
    • Itô, K.1
  • 13
    • 0001782184 scopus 로고
    • Branching processes with immigration and related limit theorems
    • Kawazu, K., Watanabe, S.: Branching processes with immigration and related limit theorems, Teor. Verojanost i Primenen 16, 34-51 (1971)
    • (1971) Teor. Verojanost i Primenen , vol.16 , pp. 34-51
    • Kawazu, K.1    Watanabe, S.2
  • 14
    • 0013308142 scopus 로고    scopus 로고
    • Spatial branching processes, random snakes and partial differential equations
    • ETH Zürich, Birkhäuser
    • Le Gall, J.F.: Spatial branching processes, random snakes and partial differential equations, Lectures in Mathematics, ETH Zürich, Birkhäuser. (1999)
    • (1999) Lectures in Mathematics
    • Le Gall, J.F.1
  • 15
    • 0032348696 scopus 로고    scopus 로고
    • Branching processes in Lévy processes: The exploration process
    • Le Gall, J.F., Le Jan Y.: Branching processes in Lévy processes: the exploration process, Ann. Probab. 26, 213-252 (1998)
    • (1998) Ann. Probab. , vol.26 , pp. 213-252
    • Le Gall, J.F.1    Le Jan, Y.2
  • 16
    • 0041179393 scopus 로고    scopus 로고
    • Branching processes in Lévy processes: Laplace functionals of snakes and Lévy processes
    • Le Gall, J.F., Le Jan, Y.: Branching processes in Lévy processes: Laplace functionals of snakes and Lévy processes, Ann. Probab. 26, 1407-1432 (1998)
    • (1998) Ann. Probab. , vol.26 , pp. 1407-1432
    • Le Gall, J.F.1    Le Jan, Y.2
  • 18
    • 84968502621 scopus 로고
    • Zero-One Laws and the Minimum of a Markov Process
    • Millar, P.W.: Zero-One Laws and the Minimum of a Markov Process, Trans. Amer. Math. Soc., 226, 365-391 (1977)
    • (1977) Trans. Amer. Math. Soc. , vol.226 , pp. 365-391
    • Millar, P.W.1
  • 19
    • 84966232313 scopus 로고
    • Limit theorems for continuous state branching processes with immigration
    • Pinsky, M.A.: Limit theorems for continuous state branching processes with immigration, Bull. Amer. Math. Soc. 78, 242-244 (1972)
    • (1972) Bull. Amer. Math. Soc. , vol.78 , pp. 242-244
    • Pinsky, M.A.1
  • 20
    • 0000884985 scopus 로고
    • One-dimensional Brownian motion and the three-dimensional Bessel process
    • Pitman, J.W.: One-dimensional Brownian motion and the three-dimensional Bessel process, Adv. in Appl. Probab. 7, 511-526 (1975)
    • (1975) Adv. in Appl. Probab. , vol.7 , pp. 511-526
    • Pitman, J.W.1
  • 22
    • 0002290684 scopus 로고    scopus 로고
    • A new identity for real Lévy processes
    • Rogers, L.C.G.: A new identity for real Lévy processes, Ann. Inst. H. Poincaré. 20, 21-34
    • Ann. Inst. H. Poincaré , vol.20 , pp. 21-34
    • Rogers, L.C.G.1
  • 24
    • 0013298696 scopus 로고
    • Construction of right processes from excursions
    • Salisbury, T.S.: Construction of right processes from excursions, Probab. Theory Relat. Fields 73, 351-367 (1986)
    • (1986) Probab. Theory Relat. Fields , vol.73 , pp. 351-367
    • Salisbury, T.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.