메뉴 건너뛰기




Volumn 10, Issue 4, 1997, Pages 421-451

On the profile of random trees

Author keywords

Branching processes; Brownian excursion; Local time; Random trees

Indexed keywords


EID: 0031525480     PISSN: 10429832     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1098-2418(199707)10:4<421::AID-RSA2>3.0.CO;2-W     Document Type: Article
Times cited : (92)

References (26)
  • 1
    • 0001812090 scopus 로고
    • The continuum random tree II: An overview
    • M. T. Barlow and N. H. Bingham, Eds., Cambridge University Press, Cambridge
    • D. J. Aldous, The continuum random tree II: an overview, in Stochastic Analysis, M. T. Barlow and N. H. Bingham, Eds., Cambridge University Press, Cambridge, 1991, pp. 23-70.
    • (1991) Stochastic Analysis , pp. 23-70
    • Aldous, D.J.1
  • 2
    • 0003296611 scopus 로고
    • The continuum random tree III
    • D. J. Aldous, The continuum random tree III, Ann. Probab., 21, 248-289 (1993).
    • (1993) Ann. Probab. , vol.21 , pp. 248-289
    • Aldous, D.J.1
  • 3
    • 0002859752 scopus 로고
    • Valeurs principales associées aux temps locaux Browniens
    • P. Biane and M. Yor, Valeurs principales associées aux temps locaux Browniens, Bull. Sci. Math., 111, 23-101 (1987).
    • (1987) Bull. Sci. Math. , vol.111 , pp. 23-101
    • Biane, P.1    Yor, M.2
  • 5
    • 0019633473 scopus 로고
    • Brownian excursion, the M/M/1 queue and their occupation times
    • J. W. Cohen and G. Hooghiemstra, Brownian excursion, the M/M/1 queue and their occupation times, Math. Operations Res., 6(4), 608-629 (1981).
    • (1981) Math. Operations Res. , vol.6 , Issue.4 , pp. 608-629
    • Cohen, J.W.1    Hooghiemstra, G.2
  • 6
    • 84990700826 scopus 로고
    • On generalized independent subsets of trees
    • M. Drmota and P. Kirschenhofer, On generalized independent subsets of trees, Random Struct. Alg., 2, 187-208 (1991).
    • (1991) Random Struct. Alg. , vol.2 , pp. 187-208
    • Drmota, M.1    Kirschenhofer, P.2
  • 7
    • 0029325259 scopus 로고
    • Marking in combinatorial constructions: Generating functions and limiting distributions
    • M. Drmota and M. Soria, Marking in combinatorial constructions: generating functions and limiting distributions, Theror. Comput. Sci., 144, 67-99 (1995).
    • (1995) Theror. Comput. Sci. , vol.144 , pp. 67-99
    • Drmota, M.1    Soria, M.2
  • 8
    • 0000640693 scopus 로고
    • Singularity analysis of generating functions
    • P. Flajolet and A. M. Odlyzko, Singularity analysis of generating functions, SIAM J. Discrete Math., 3(2), 216-240 (1990).
    • (1990) SIAM J. Discrete Math. , vol.3 , Issue.2 , pp. 216-240
    • Flajolet, P.1    Odlyzko, A.M.2
  • 9
    • 0002646610 scopus 로고
    • Excursion of Brownian motion and Bessel processes
    • R. K. Getoor and M. J. Sharpe, Excursion of Brownian motion and Bessel processes, Z. Wahrsch. Verw. Gebiete, 47, 83-106 (1979).
    • (1979) Z. Wahrsch. Verw. Gebiete , vol.47 , pp. 83-106
    • Getoor, R.K.1    Sharpe, M.J.2
  • 12
    • 38249012365 scopus 로고
    • The asymptotic contour process of a binary tree is a Brownian excursion
    • W. Gutjahr and G. Ch. Pflug, The asymptotic contour process of a binary tree is a Brownian excursion, Stochastic Process. Appl., 41, 69-89 (1992).
    • (1992) Stochastic Process. Appl. , vol.41 , pp. 69-89
    • Gutjahr, W.1    Pflug, G.Ch.2
  • 13
    • 84966208901 scopus 로고
    • On the explicit form of the density of Brownian excursion local time
    • G. Hooghiemstra, On the explicit form of the density of Brownian excursion local time, Proc. AMS, 84, 127-130 (1982).
    • (1982) Proc. AMS , vol.84 , pp. 127-130
    • Hooghiemstra, G.1
  • 15
    • 0001275106 scopus 로고
    • The Gallon-Watson process conditioned on the total progeny
    • D. P. Kennedy, The Gallon-Watson process conditioned on the total progeny, J. Appl. Probab., 12, 800-806 (1975).
    • (1975) J. Appl. Probab. , vol.12 , pp. 800-806
    • Kennedy, D.P.1
  • 16
    • 0016963355 scopus 로고
    • The distribution of the maximum Brownian excursion
    • D. P. Kennedy, The distribution of the maximum Brownian excursion, J. Appl. Probab., 13, 371-376 (1976).
    • (1976) J. Appl. Probab. , vol.13 , pp. 371-376
    • Kennedy, D.P.1
  • 17
    • 84968468167 scopus 로고
    • On the excursion process of Brownian motion
    • F. B. Knight, On the excursion process of Brownian motion, Trans. AMS, 258, 77-86 (1980).
    • (1980) Trans. AMS , vol.258 , pp. 77-86
    • Knight, F.B.1
  • 18
    • 0004265775 scopus 로고
    • Optimization Software, New York
    • V. F. Kolchin, Random Mappings, Optimization Software, New York, 1986.
    • (1986) Random Mappings
    • Kolchin, V.F.1
  • 19
    • 0021493799 scopus 로고
    • Kac's formula, Levy's local time and Brownian excursion
    • G. Louchard, Kac's formula, Levy's local time and Brownian excursion, J. Appl. Probab., 21, 479-499 (1984).
    • (1984) J. Appl. Probab. , vol.21 , pp. 479-499
    • Louchard, G.1
  • 20
    • 0001270611 scopus 로고
    • On the altitude of nodes in random trees
    • A. Meir and J. W. Moon, On the altitude of nodes in random trees, Can. J. Math., 30, 997-1015 (1978).
    • (1978) Can. J. Math. , vol.30 , pp. 997-1015
    • Meir, A.1    Moon, J.W.2
  • 21
    • 0000674721 scopus 로고
    • A decomposition of Bessel bridges
    • J. W. Pitman and M. Yor, A decomposition of Bessel bridges, Z. Wahrsch. Verw. Gebiete, 59, 425-457 (1982).
    • (1982) Z. Wahrsch. Verw. Gebiete , vol.59 , pp. 425-457
    • Pitman, J.W.1    Yor, M.2
  • 23
    • 0000323766 scopus 로고
    • Conditional limit theorems for branching processes
    • L. Takács, Conditional limit theorems for branching processes, J. Appl. Math. Stoch. Anal., 4(4), 263-292 (1991).
    • (1991) J. Appl. Math. Stoch. Anal. , vol.4 , Issue.4 , pp. 263-292
    • Takács, L.1
  • 25
    • 84966207775 scopus 로고
    • Decomposing the Brownian path
    • D. Williams, Decomposing the Brownian path, Bull. AMS, 76, 871-983 (1970).
    • (1970) Bull. AMS , vol.76 , pp. 871-983
    • Williams, D.1
  • 26
    • 33749017547 scopus 로고
    • Path decomposition and continuity of local time for one dimensional diffusions I
    • D. Williams, Path decomposition and continuity of local time for one dimensional diffusions I, Proc. London Math. Soc., 28, 738-768 (1974).
    • (1974) Proc. London Math. Soc. , vol.28 , pp. 738-768
    • Williams, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.