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Volumn 109, Issue 2, 2005, Pages 203-220

Random combinatorial structures: The convergent case

Author keywords

Coagulation fragmentation; Combinatorial structures; Conditioning relation; Giant component

Indexed keywords


EID: 14544271021     PISSN: 00973165     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcta.2004.09.001     Document Type: Article
Times cited : (24)

References (14)
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    • Logarithmic Combinatorial Structures: A Probabilistic Approach
    • European Mathematical Society Publishing House, Zürich
    • R. Arratia, A.D. Barbour, S. Tavaré, Logarithmic Combinatorial Structures: A Probabilistic Approach, EMS Monographs in Mathematics, vol. 1, European Mathematical Society Publishing House, Zürich, 2003.
    • (2003) EMS Monographs in Mathematics , vol.1
    • Arratia, R.1    Barbour, A.D.2    Tavaré, S.3
  • 2
    • 0000549988 scopus 로고
    • Compound Poisson approximation for nonnegative random variables using Stein's method
    • A.D. Barbour L.H.Y. Chen W.-L. Loh Compound Poisson approximation for nonnegative random variables using Stein's method Ann. Probab. 20 1992 1843-1866
    • (1992) Ann. Probab. , vol.20 , pp. 1843-1866
    • Barbour, A.D.1    Chen, L.H.Y.2    Loh, W.-L.3
  • 3
    • 3242708695 scopus 로고    scopus 로고
    • Asymptotics for the probability of connectedness and the distribution of number of components
    • J.P. Bell E.A. Bender P.J. Cameron L.B. Richmond Asymptotics for the probability of connectedness and the distribution of number of components Electron. J. Combin. 7 2000 R33
    • (2000) Electron. J. Combin. , vol.7
    • Bell, J.P.1    Bender, E.A.2    Cameron, P.J.3    Richmond, L.B.4
  • 4
    • 0033434682 scopus 로고    scopus 로고
    • The equilibrium behaviour of reversible coagulation-fragmentation processes
    • R. Durrett B.L. Granovsky S. Gueron The equilibrium behaviour of reversible coagulation-fragmentation processes J. Theoret. Probab. 12 1999 447-474
    • (1999) J. Theoret. Probab. , vol.12 , pp. 447-474
    • Durrett, R.1    Granovsky, B.L.2    Gueron, S.3
  • 5
    • 0036354373 scopus 로고    scopus 로고
    • Asymptotic formula for a partition function of reversible coagulation-fragmentation processes
    • G. Freiman B.L. 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.L.2
  • 6
    • 11144291590 scopus 로고    scopus 로고
    • Clustering in coagulation-fragmentation processes, random combinatorial structures and additive number systems: Asymptotic formulae and limiting laws
    • to appear
    • G. Freiman, B.L. Granovsky, Clustering in coagulation-fragmentation processes, random combinatorial structures and additive number systems: asymptotic formulae and limiting laws, Trans. Amer. Math. Soc., 2002b, to appear.
    • (2002) Trans. Amer. Math. Soc.
    • Freiman, G.1    Granovsky, B.L.2
  • 9
    • 0032221898 scopus 로고    scopus 로고
    • The largest tree in certain models of random forests
    • L. Mutafchiev The largest tree in certain models of random forests Random Struct. Algorithm 13 1998 211-228
    • (1998) Random Struct. Algorithm , vol.13 , pp. 211-228
    • Mutafchiev, L.1
  • 10
    • 0000902966 scopus 로고
    • The number of trees
    • R. Otter The number of trees Ann. Math. 49 1948 583-599
    • (1948) Ann. Math. , vol.49 , pp. 583-599
    • Otter, R.1
  • 12
    • 0031206136 scopus 로고    scopus 로고
    • Random set partitions: Asymptotics of subset counts
    • B. Pittel Random set partitions: Asymptotics of subset counts J. Combin. Theory A 79 1997 326-359
    • (1997) J. Combin. Theory A , vol.79 , pp. 326-359
    • Pittel, B.1
  • 13
    • 84957163352 scopus 로고
    • Statistical processes of aggregation and polymerisation
    • P. Whittle Statistical processes of aggregation and polymerisation Proc. Cambridge Philos. Soc. 61 1965 475-495
    • (1965) Proc. Cambridge Philos. Soc. , vol.61 , pp. 475-495
    • Whittle, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.