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Volumn 95, Issue 1, 2001, Pages 151-176

Applications of the continuous-time ballot theorem to Brownian motion and related processes

Author keywords

60J25; 60J75; Ballot theorem; Brownian excursion; Brownian motion; Fragmentation processes; Primary 60G51; Secondary 60C05

Indexed keywords


EID: 0042092647     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(01)00097-7     Document Type: Article
Times cited : (8)

References (28)
  • 1
    • 0001981461 scopus 로고
    • The continuum random tree I
    • Aldous D. The continuum random tree I. Ann. Probab. 19:1991;1-28.
    • (1991) Ann. Probab. , vol.19 , pp. 1-28
    • Aldous, D.1
  • 2
    • 0001812090 scopus 로고
    • The continuum random tree II: An overview.
    • M. Barlow, & N. Bingham. Cambridge: Cambridge University Press
    • Aldous D. The continuum random tree II: an overview. Barlow M., Bingham N. Stochastic Analysis. 1991;23-70 Cambridge University Press, Cambridge.
    • (1991) Stochastic Analysis , pp. 23-70
    • Aldous, D.1
  • 3
    • 0003296611 scopus 로고
    • The continuum random tree III
    • Aldous D. The continuum random tree III. Ann. Probab. 21:1993;248-289.
    • (1993) Ann. Probab. , vol.21 , pp. 248-289
    • Aldous, D.1
  • 4
    • 0032237324 scopus 로고    scopus 로고
    • The standard additive coalescent
    • Aldous D., Pitman J. The standard additive coalescent. Ann. Probab. 26:1998;1703-1726.
    • (1998) Ann. Probab. , vol.26 , pp. 1703-1726
    • Aldous, D.1    Pitman, J.2
  • 5
    • 0004044694 scopus 로고    scopus 로고
    • Cambridge: Cambridge University Press
    • Bertoin J. Lévy Processes. 1996;Cambridge University Press, Cambridge.
    • (1996) Lévy Processes.
    • Bertoin, J.1
  • 6
    • 0034392396 scopus 로고    scopus 로고
    • A fragmentation process connected to Brownian motion
    • Bertoin J. A fragmentation process connected to Brownian motion. Probab. Theory Related Fields. 117:2000;289-301.
    • (2000) Probab. Theory Related Fields , vol.117 , pp. 289-301
    • Bertoin, J.1
  • 9
    • 0000358936 scopus 로고
    • Path transformations connecting Brownian bridge, excursion, and meander
    • Bertoin J., Pitman J. Path transformations connecting Brownian bridge, excursion, and meander. Bull. Sci. Math. 118:1994;147-166.
    • (1994) Bull. Sci. Math. , vol.118 , pp. 147-166
    • Bertoin, J.1    Pitman, J.2
  • 15
    • 0007373304 scopus 로고
    • Canonical representations and convergence criteria for processes with interchangeable increments
    • Kallenberg O. Canonical representations and convergence criteria for processes with interchangeable increments. Z. Wahrscheinlichkeitstheorie und verw. Gebiete. 27:1973;23-36.
    • (1973) Z. Wahrscheinlichkeitstheorie und Verw. Gebiete , vol.27 , pp. 23-36
    • Kallenberg, O.1
  • 16
    • 0033233670 scopus 로고    scopus 로고
    • Ballot theorems and sojourn laws for stationary processes
    • Kallenberg O. Ballot theorems and sojourn laws for stationary processes. Ann. Probab. 27:1999;2011-2019.
    • (1999) Ann. Probab. , vol.27 , pp. 2011-2019
    • Kallenberg, O.1
  • 18
    • 0000035770 scopus 로고
    • Une approche élémentaire des théorèms de décomposition de Williams
    • Vol. 1204 Springer, Berlin
    • LeGall, J.-F., 1986. Une approche élémentaire des théorèms de décomposition de Williams. In: Séminaire des Probabilités, XX, Lecture Notes in Mathematics, Vol. 1204 Springer, Berlin, pp. 447-464.
    • (1986) In: Séminaire des Probabilités, XX, Lecture Notes in Mathematics , pp. 447-464
    • Legall, J.-F.1
  • 19
    • 0000944515 scopus 로고
    • Symmetric stable processes as traces of degenerate diffusion processes
    • Molchanov S.A., Ostrovski E. Symmetric stable processes as traces of degenerate diffusion processes. Theory Probab. Appl. 14:1969;128-131.
    • (1969) Theory Probab. Appl. , vol.14 , pp. 128-131
    • Molchanov, S.A.1    Ostrovski, E.2
  • 20
    • 0001902647 scopus 로고
    • Size-biased sampling of Poisson point processes and excursions
    • Perman M., Pitman J., Yor M. Size-biased sampling of Poisson point processes and excursions. Probab. Theory Related Fields. 92:1992;21-39.
    • (1992) Probab. Theory Related Fields , vol.92 , pp. 21-39
    • Perman, M.1    Pitman, J.2    Yor, M.3
  • 21
    • 85132282134 scopus 로고    scopus 로고
    • Partition structures derived from Brownian motion and stable subordinators
    • Pitman J. Partition structures derived from Brownian motion and stable subordinators. Bernoulli. 3:1997;79-96.
    • (1997) Bernoulli , vol.3 , pp. 79-96
    • Pitman, J.1
  • 22
    • 0033243136 scopus 로고    scopus 로고
    • The SDE solved by local times of a Brownian excursion or bridge derived from the height profile of a random tree or forest
    • Pitman J. The SDE solved by local times of a Brownian excursion or bridge derived from the height profile of a random tree or forest. Ann. Probab. 27:1999;261-283.
    • (1999) Ann. Probab. , vol.27 , pp. 261-283
    • Pitman, J.1
  • 23
    • 84962993911 scopus 로고
    • Arcsine laws and interval partitions derived from a stable subordinator
    • Pitman J., Yor M. Arcsine laws and interval partitions derived from a stable subordinator. Proc. London Math. Soc. 65:1992;326-356.
    • (1992) Proc. London Math. Soc. , vol.65 , pp. 326-356
    • Pitman, J.1    Yor, M.2
  • 24
    • 0009425346 scopus 로고    scopus 로고
    • Random discrete distributions derived from self-similar random sets
    • Pitman J., Yor M. Random discrete distributions derived from self-similar random sets. Electron. J. Probab. 1:1996;1-28.
    • (1996) Electron. J. Probab. , vol.1 , pp. 1-28
    • Pitman, J.1    Yor, M.2
  • 25
    • 0031534984 scopus 로고    scopus 로고
    • The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator
    • Pitman J., Yor M. The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator. Ann. Probab. 25:1997;855-900.
    • (1997) Ann. Probab. , vol.25 , pp. 855-900
    • Pitman, J.1    Yor, M.2
  • 28
    • 33749017547 scopus 로고
    • Path decomposition and continuity of local time, for one-dimensional diffusions, I
    • Williams D. Path decomposition and continuity of local time, for one-dimensional diffusions, I. Proc. London Math. Soc. 28:1974;738-768.
    • (1974) Proc. London Math. Soc. , vol.28 , pp. 738-768
    • Williams, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.