Conditioned brownian motion in simply connected planar domains

Philip S. Griffin; Terry R. McConnell; Gregory Verchota

Annales de l'I.H.P. Probabilités et statistiques (1993)

  • Volume: 29, Issue: 2, page 229-249
  • ISSN: 0246-0203

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Griffin, Philip S., McConnell, Terry R., and Verchota, Gregory. "Conditioned brownian motion in simply connected planar domains." Annales de l'I.H.P. Probabilités et statistiques 29.2 (1993): 229-249. <http://eudml.org/doc/77455>.

@article{Griffin1993,
author = {Griffin, Philip S., McConnell, Terry R., Verchota, Gregory},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {conditioned Brownian motion; expected lifetime; positive harmonic functions; isoperimetric inequality; open mapping theorem; Poisson kernel},
language = {eng},
number = {2},
pages = {229-249},
publisher = {Gauthier-Villars},
title = {Conditioned brownian motion in simply connected planar domains},
url = {http://eudml.org/doc/77455},
volume = {29},
year = {1993},
}

TY - JOUR
AU - Griffin, Philip S.
AU - McConnell, Terry R.
AU - Verchota, Gregory
TI - Conditioned brownian motion in simply connected planar domains
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1993
PB - Gauthier-Villars
VL - 29
IS - 2
SP - 229
EP - 249
LA - eng
KW - conditioned Brownian motion; expected lifetime; positive harmonic functions; isoperimetric inequality; open mapping theorem; Poisson kernel
UR - http://eudml.org/doc/77455
ER -

References

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  10. [10] P. Koosis, Introduction to Hp spaces, Cambridge University Press, Cambridge, 1980. Zbl0435.30001MR1669574
  11. [11] T.R. Mcconnell, A conformal inequality related to the conditional gauge theorem, Trans. Amer. Math. Soc., Vol. 318, 1990, pp. 721-733. Zbl0705.60063MR957083
  12. [12] S. Saks and A. Zygmund, Analytic Functions, 3rd Ed., American Elsevier Publishing Co., New York, 1971. Zbl0048.30803MR349963
  13. [13] T. Salisbury, A Martin boundary in the plane, Trans. Amer. Math. Soc., Vol. 293, 1986, pp. 623-642. Zbl0591.60074MR816315
  14. [14] W.A. Veech, A Second Course in Complex Analysis, W. A. BENJAMIN Ed., Inc., New York, 1967. Zbl0145.29901MR220903
  15. [15] J. Xu, The lifetime of conditioned Brownian motion in planar domains of finite area, Prob. Theory Related Fields, Vol. 87, 1991, pp. 469-487. Zbl0718.60092MR1085178

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