메뉴 건너뛰기




Volumn 34, Issue 3, 1998, Pages 339-383

Construction of Markovian coalescents

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0032067120     PISSN: 02460203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0246-0203(98)80015-0     Document Type: Article
Times cited : (56)

References (48)
  • 1
    • 0031483018 scopus 로고    scopus 로고
    • Brownian excursions, critical random graphs and the multiplicative coalescent
    • [1] D. ALDOUS. Brownian excursions, critical random graphs and the multiplicative coalescent. Am. Probab., Vol. 25, 1997, pp. 812-854.
    • (1997) Am. Probab. , vol.25 , pp. 812-854
    • Aldous, D.1
  • 2
    • 84990663423 scopus 로고
    • Brownian bridge asymptotics for random mappings
    • [2] D. ALDOUS and J. PITMAN. Brownian bridge asymptotics for random mappings. Random Structures and Algorithms, Vol. 5, 1994, pp. 487-512.
    • (1994) Random Structures and Algorithms , vol.5 , pp. 487-512
    • Aldous, D.1    Pitman, J.2
  • 5
    • 0003296611 scopus 로고
    • The continuum random tree III
    • [5] D.J. ALDOUS. The continuum random tree III. Ann. Probab., Vol. 21, 1993, pp. 248-289.
    • (1993) Ann. Probab. , vol.21 , pp. 248-289
    • Aldous, D.J.1
  • 6
    • 0003268734 scopus 로고    scopus 로고
    • Deterministic and stochastic models for coalescence: A review of the mean-field theory for probabilists
    • [6] D.J. ALDOUS. Deterministic and stochastic models for coalescence: a review of the mean-field theory for probabilists. To appear in Bernoulli. Available via homepage http://www.stat.berkeley.edu/users/aldous, 1997.
    • (1997) Bernoulli
    • Aldous, D.J.1
  • 8
    • 0003566688 scopus 로고    scopus 로고
    • Technical Report 489
    • [8] D.J. ALDOUS and J. PITMAN. The standard additive coalescent. Technical Report 489, Dept. Statistics, U.C. Berkeley, 1997. Available via http://www.stat.berkeley.edu/users/pitman.
    • (1997) The Standard Additive Coalescent
    • Aldous, D.J.1    Pitman, J.2
  • 9
    • 0000045348 scopus 로고
    • Systèmes de Lévy des processus de Markov
    • [9] A. BENVENISTE and J. JACOD. Systèmes de Lévy des processus de Markov. Invent. Math., Vol. 21, 1973, pp. 183-198.
    • (1973) Invent. Math. , vol.21 , pp. 183-198
    • Benveniste, A.1    Jacod, J.2
  • 11
    • 0010117449 scopus 로고    scopus 로고
    • On Ruelle's probability cascades and an abstract cavity method
    • [11] E. BOLTHAUSEN and A.-S. SZNITMAN. On Ruelle's probability cascades and an abstract cavity method. To appear in Comm. Math. Phys., 1998.
    • (1998) Comm. Math. Phys.
    • Bolthausen, E.1    Sznitman, A.-S.2
  • 13
    • 0000663867 scopus 로고
    • A theorem on trees
    • [13] A. CAYLEY. A theorem on trees. Quarterly Journal of Pure and Applied Mathematics, 23:376-378, 1889. (Also in The Collected Mathematical Papers of Arthur CAYLEY. Vol. XIII, pp. 26-28, Cambridge University Press, 1897).
    • (1889) Quarterly Journal of Pure and Applied Mathematics , vol.23 , pp. 376-378
    • Cayley, A.1
  • 14
    • 0013540528 scopus 로고
    • Cambridge University Press
    • [13] A. CAYLEY. A theorem on trees. Quarterly Journal of Pure and Applied Mathematics, 23:376-378, 1889. (Also in The Collected Mathematical Papers of Arthur CAYLEY. Vol. XIII, pp. 26-28, Cambridge University Press, 1897).
    • (1897) The Collected Mathematical Papers of Arthur CAYLEY , vol.13 , pp. 26-28
  • 16
    • 38249024666 scopus 로고
    • Continuity and weak convergence of ranked and size-biased permutations on the infinite simplex
    • [15] P. DONNELLY and P. JOYCE. Continuity and weak convergence of ranked and size-biased permutations on the infinite simplex. Stochastic Processes and their Applications, Vol. 31, 1989, pp. 89-103.
    • (1989) Stochastic Processes and Their Applications , vol.31 , pp. 89-103
    • Donnelly, P.1    Joyce, P.2
  • 17
    • 21144461549 scopus 로고
    • On the stochastic approach to cluster size distribution during particle coagulation I: Asymptotic expansion in the deterministic limit
    • [16] P. DONNELLY and S. SIMONS. On the stochastic approach to cluster size distribution during particle coagulation I: Asymptotic expansion in the deterministic limit. J. Phys. A: Math. Gen., Vol. 26, 1993, pp. 2755-2767.
    • (1993) J. Phys. A: Math. Gen. , vol.26 , pp. 2755-2767
    • Donnelly, P.1    Simons, S.2
  • 19
    • 85030034503 scopus 로고    scopus 로고
    • Infinitely-many-species Lotka-Volterra equations arising from systems of coalescing masses
    • Technical Report 478
    • [18] S.N. EVANS. Infinitely-many-species Lotka-Volterra equations arising from systems of coalescing masses. Technical Report 478, Dept. Statistics, U.C. Berkeley, 1997. To appear in J. London Math. Soc., Available via http://www.stat.berkeley.edu/tech-reports.
    • (1997) J. London Math. Soc.
    • Evans, S.N.1
  • 23
    • 0002453994 scopus 로고
    • Random discrete distributions
    • [22] J. F. C. KINGMAN. Random discrete distributions. J. Roy. Statist. Soc. B, Vol. 37, 1975, pp. 1-22
    • (1975) J. Roy. Statist. Soc. B , vol.37 , pp. 1-22
    • Kingman, J.F.C.1
  • 24
    • 84927129559 scopus 로고
    • The representation of partition structures
    • [23] J. F. C. KINGMAN. The representation of partition structures. J. London Math. Soc., Vol. 18, 1978, pp. 374-380.
    • (1978) J. London Math. Soc. , vol.18 , pp. 374-380
    • Kingman, J.F.C.1
  • 26
    • 0002556819 scopus 로고
    • On the genealogy of large populations
    • J. Gani and E.J. Hannan, editors, of J.A.P. Special vol., Applied Probability Trust
    • [25] J.F.C. KINGMAN. On the genealogy of large populations. In J. Gani and E.J. Hannan, editors, Essays in Statistical Science, volume 19A of J.A.P. Special vol., pp. 27-43. Applied Probability Trust, 1982.
    • (1982) Essays in Statistical Science , vol.19 A , pp. 27-43
    • Kingman, J.F.C.1
  • 27
    • 0000082457 scopus 로고
    • Merger rates in hierarchical models of galaxy formation
    • [26] C. LACEY and S. COLE. Merger rates in hierarchical models of galaxy formation. Mon. Not. R. Astron. Soc., Vol. 262, 1993, pp. 627-649.
    • (1993) Mon. Not. R. Astron. Soc. , vol.262 , pp. 627-649
    • Lacey, C.1    Cole, S.2
  • 30
    • 84946656793 scopus 로고    scopus 로고
    • Stochastic coalescence
    • [29] A.H. MARCUS. Stochastic coalescence. Technometrics, Vol. 10, 3968, pp. 133-143.
    • Technometrics , vol.10 , pp. 133-143
    • Marcus, A.H.1
  • 31
    • 38249001768 scopus 로고
    • Order statistics for jumps of normalized subordinators
    • [30] M. PERMAN. Order statistics for jumps of normalized subordinators. Stock. Proc. Appl., Vol. 46, 1993, pp. 267-281.
    • (1993) Stock. Proc. Appl. , vol.46 , pp. 267-281
    • Perman, M.1
  • 32
    • 0001902647 scopus 로고
    • Size-biased sampling of poisson point processes and excursions
    • [31] M. PERMAN, J. PITMAN, and M. YOR. Size-biased sampling of Poisson point processes and excursions. Probab. Th. Rel. Fields, Vol. 92, 1992, pp. 21-39.
    • (1992) Probab. Th. Rel. Fields , vol.92 , pp. 21-39
    • Perman, M.1    Pitman, J.2    Yor, M.3
  • 33
    • 21844504293 scopus 로고
    • Exchangeable and partially exchangeable random partitions
    • [32] J. PITMAN. Exchangeable and partially exchangeable random partitions. Probab. Th. Rel. Fields, Vol. 102, 1995, pp. 145-158.
    • (1995) Probab. Th. Rel. Fields , vol.102 , pp. 145-158
    • Pitman, J.1
  • 34
    • 0003848078 scopus 로고    scopus 로고
    • Technical Report 457
    • [33] J. PITMAN. Coalescent random forests. Technical Report 457, Dept. Statistics, U.C. Berkeley, 1996. Available via http://www.stat.berkeley.edu/users/pitman.
    • (1996) Coalescent Random Forests
    • Pitman, J.1
  • 35
    • 0001191605 scopus 로고    scopus 로고
    • Random discrete distributions invariant under size-biased permutation
    • [34] J. PITMAN. Random discrete distributions invariant under size-biased permutation. Adv. Appl. Prob., Vol. 28, 1996, pp. 525-539.
    • (1996) Adv. Appl. Prob. , vol.28 , pp. 525-539
    • Pitman, J.1
  • 37
    • 0003470743 scopus 로고    scopus 로고
    • Technical Report 495
    • [36] J. PITMAN. Coalescents with multiple collisions. Technical Report 495, Dept. Statistics, U.C. Berkeley, 1997. Available via http://www.stat.berkeley.edu/users/pitman.
    • (1997) Coalescents with Multiple Collisions
    • Pitman, J.1
  • 38
    • 0031534984 scopus 로고    scopus 로고
    • The two-parameter poisson-dirichlet distribution derived from a stable subordinator
    • [37] J. PITMAN and M. YOR. The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator. Ann. Probab., Vol. 25, 1997, pp. 855-900.
    • (1997) Ann. Probab. , vol.25 , pp. 855-900
    • Pitman, J.1    Yor, M.2
  • 39
    • 0002106517 scopus 로고
    • On the enumeration of trees
    • R. Guy, H. Hanani, N. Sauer, and J. Schonheim, editors, Gordon and Breach, New YoRk
    • [38] A. RÉNYI. On the enumeration of trees. In R. Guy, H. Hanani, N. Sauer, and J. Schonheim, editors, Combinatorial Structures and their Applications, pages 355-360. Gordon and Breach, New YoRk, 1970.
    • (1970) Combinatorial Structures and Their Applications , pp. 355-360
    • Rényi, A.1
  • 40
    • 0000126976 scopus 로고
    • Merging and hierarchical clustering from an initially poisson distribution
    • [39] R.K. SHETH. Merging and hierarchical clustering from an initially Poisson distribution. Mon. Not. R. Astron. Soc., Vol. 276, 1995, pp. 796-824.
    • (1995) Mon. Not. R. Astron. Soc. , vol.276 , pp. 796-824
    • Sheth, R.K.1
  • 41
    • 0001939173 scopus 로고    scopus 로고
    • Coagulation and branching process models of gravitational clustering
    • [40] R.K. SHETH and J. PITMAN. Coagulation and branching process models of gravitational clustering. Mon. Not. R. Astron. Soc., Vol. 289, 1997, pp. 66-80.
    • (1997) Mon. Not. R. Astron. Soc. , vol.289 , pp. 66-80
    • Sheth, R.K.1    Pitman, J.2
  • 42
    • 0003652674 scopus 로고    scopus 로고
    • Book in preparation, to be published by Cambridge University Press
    • [41] R. STANLEY. Enumerative combinatorics, vol. 2. Book in preparation, to be published by Cambridge University Press, 1996.
    • (1996) Enumerative Combinatorics , vol.2
    • Stanley, R.1
  • 43
    • 0000623494 scopus 로고
    • Stochastic coagulation equation and validity of the statistical coagulation equation
    • [42] H. TANAKA and K. NAKAZAWA. Stochastic coagulation equation and validity of the statistical coagulation equation. J. Geomag. Geoelectr., Vol. 45, 1993, pp. 361-381.
    • (1993) J. Geomag. Geoelectr. , vol.45 , pp. 361-381
    • Tanaka, H.1    Nakazawa, K.2
  • 44
    • 0039738355 scopus 로고
    • Validity of the stochastic coagulation equation and runaway growth of protoplanets
    • [43] H. TANAKA and K. NAKAZAWA, Validity of the stochastic coagulation equation and runaway growth of protoplanets. Icarus, Vol. 107, 1994, pp. 404-412.
    • (1994) Icarus , vol.107 , pp. 404-412
    • Tanaka, H.1    Nakazawa, K.2
  • 46
    • 0010067623 scopus 로고
    • Fluctuations in coagulating systems II
    • [45] P.G.J. van DONGEN. Fluctuations in coagulating systems II. J. Statist. Phys., Vol. 49, 1987, pp. 927-975.
    • (1987) J. Statist. Phys. , vol.49 , pp. 927-975
    • Van Dongen, P.G.J.1
  • 47
    • 0001260330 scopus 로고
    • Fluctuations in coagulating systems
    • [46] P.G.J. van DONGEN and M.H. ERNST. Fluctuations in coagulating systems. J. Statist. Phys., Vol. 49, 1987, pp. 879-926.
    • (1987) J. Statist. Phys. , vol.49 , pp. 879-926
    • Van Dongen, P.G.J.1    Ernst, M.H.2
  • 48
    • 0001138912 scopus 로고
    • Drei vorträge über diffusion, brownsche bewegung und koagulation von kolloidteilchen
    • [47] M. von SMOLUCHOWSKI. Drei Vorträge über Diffusion, Brownsche Bewegung und Koagulation von Kolloidteilchen. Physik. Z., Vol. 17, 1916, pp. 557-585.
    • (1916) Physik. Z. , vol.17 , pp. 557-585
    • Von Smoluchowski, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.