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Volumn 25, Issue 2, 2004, Pages 227-245

Reversible coagulation-fragmentation processes and random combinatorial structures: Asymptotics for the number of groups

Author keywords

Coagulation fragmentation processes; Distributions on the set of partitions; Local and central limit theorems; Random combinatorial structures

Indexed keywords


EID: 11144324348     PISSN: 10429832     EISSN: None     Source Type: Journal    
DOI: 10.1002/rsa.20020     Document Type: Article
Times cited : (11)

References (19)
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    • Arratia, R.1    Barbour, A.2    Tavare, S.3
  • 4
    • 0005146817 scopus 로고    scopus 로고
    • Number theoretic density and logical limit laws
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    • Burris, S.1
  • 7
    • 0033434682 scopus 로고    scopus 로고
    • The equilibrium behaviour of reversible coagulation-fragmentation processes
    • R. Durrett, B. Granovsky, and S. Gueron, The equilibrium behaviour of reversible coagulation-fragmentation processes, J Theoret Probab 12(2) (1999), 447-474.
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    • Durrett, R.1    Granovsky, B.2    Gueron, S.3
  • 8
    • 0036354373 scopus 로고    scopus 로고
    • Asymptotic formula for a partition function of reversible coagulation-fragmentation processes
    • G. Freiman and B. Granovsky, Asymptotic formula for a partition function of reversible coagulation-fragmentation processes, Israel J Math 130 (2002), 259-279.
    • (2002) Israel J Math , vol.130 , pp. 259-279
    • Freiman, G.1    Granovsky, B.2
  • 9
    • 11144291590 scopus 로고    scopus 로고
    • Clustering in coagulation-fragmentation processes, random combinatorial structures and additive number systems: Asymptotic formulae and limiting laws
    • to appear (preprint, math.Pr/0207265, math@arXiv.org)
    • G. Freiman and B. Granovsky, Clustering in coagulation-fragmentation processes, random combinatorial structures and additive number systems: Asymptotic formulae and limiting laws, Trans Amer Math Soc, to appear (preprint, math.Pr/0207265, math@arXiv.org), 2002.
    • (2002) Trans Amer Math Soc
    • Freiman, G.1    Granovsky, B.2
  • 10
    • 21844493823 scopus 로고
    • Partitions into distinct large parts
    • G. Freiman and J. Pitman, Partitions into distinct large parts, J Aust Math Soc Ser A 57 (1994), 386-416.
    • (1994) J Aust Math Soc Ser A , vol.57 , pp. 386-416
    • Freiman, G.1    Pitman, J.2
  • 14
    • 84990709860 scopus 로고
    • Local limit theorems for sums of power series distributed random variables and for the number of components in labelled relational structures
    • L. Mutafchiev, Local limit theorems for sums of power series distributed random variables and for the number of components in labelled relational structures. Random Structures Algorithms 3 (1992), 404-426.
    • (1992) Random Structures Algorithms , vol.3 , pp. 404-426
    • Mutafchiev, L.1
  • 15
    • 0006388969 scopus 로고
    • Introduction to analytic number theory
    • American Mathematical Society, Providence, RI
    • A. G. Postnikov, Introduction to analytic number theory, Translations of Mathematical Monographs 68, American Mathematical Society, Providence, RI, 1987.
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    • Postnikov, A.G.1
  • 16
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  • 17
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    • (1977) Bull Amer Math Soc , vol.83 , Issue.5 , pp. 880-890
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  • 18
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.