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Volumn 13, Issue 1, 2007, Pages 211-228

Asymptotics for the small fragments of the fragmentation at nodes

Author keywords

Continuous random tree; Fragmentation; L vy snake; Local time; Small fragments

Indexed keywords


EID: 38849100557     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.3150/07-BEJ6045     Document Type: Article
Times cited : (2)

References (13)
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  • 2
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  • 3
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    • Bertoin, J.1
  • 4
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    • Bertoin, J. (2000a) A fragmentation process connected to Brownian motion. Probab. Theory Related Fields, 117, 289-301.
    • (2000) Probab. Theory Related Fields , vol.117 , pp. 289-301
    • Bertoin, J.1
  • 6
    • 0242635870 scopus 로고    scopus 로고
    • On small masses in self-similar fragmentations
    • Bertoin, J. (2004) On small masses in self-similar fragmentations. Stochastic Process. Appl., 109(1), 13-22.
    • (2004) Stochastic Process. Appl , vol.109 , Issue.1 , pp. 13-22
    • Bertoin, J.1
  • 8
    • 47249093475 scopus 로고    scopus 로고
    • Fragmentation at height associated to Lévy processes
    • Delmas, J.-F. (2006) Fragmentation at height associated to Lévy processes. Preprint 300, CERMICS.
    • (2006) Preprint 300, CERMICS
    • Delmas, J.-F.1
  • 10
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    • Haas, B. (2004) Regularity of formation of dust in self-similar fragmentations. Ann. Inst. H. Poincaré Probab. Statist., 40(4), 411-438.
    • (2004) Ann. Inst. H. Poincaré Probab. Statist , vol.40 , Issue.4 , pp. 411-438
    • Haas, B.1
  • 11
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    • Branching processes in Lévy processes: The exploration process
    • Le Gall, J.-F. and Le Jan, Y. (1998a) Branching processes in Lévy processes: The exploration process. Ann. Probab., 26, 213-252.
    • (1998) Ann. Probab , vol.26 , pp. 213-252
    • Le Gall, J.-F.1    Le Jan, Y.2
  • 12
    • 0041179393 scopus 로고    scopus 로고
    • Branching processes in Lévy processes: Laplace functionals of snake and superprocesses
    • Le Gall, J.-F. and Le Jan, Y. (1998b) Branching processes in Lévy processes: Laplace functionals of snake and superprocesses, Ann. Probab., 26, 1407-1432.
    • (1998) Ann. Probab , vol.26 , pp. 1407-1432
    • Le Gall, J.-F.1    Le Jan, Y.2
  • 13
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    • Self-similar fragmentations derived from the stable tree II: Splitting at nodes
    • Miermont, G. (2005) Self-similar fragmentations derived from the stable tree II: Splitting at nodes. Probab. Theory Related Fields, 131(3), 341-375.
    • (2005) Probab. Theory Related Fields , vol.131 , Issue.3 , pp. 341-375
    • Miermont, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.