Une preuve probabiliste élémentaire d'un résultat de P. Baird et J. C. Wood

Frédérique Duheille

Annales de l'I.H.P. Probabilités et statistiques (1997)

  • Volume: 33, Issue: 2, page 283-291
  • ISSN: 0246-0203

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Duheille, Frédérique. "Une preuve probabiliste élémentaire d'un résultat de P. Baird et J. C. Wood." Annales de l'I.H.P. Probabilités et statistiques 33.2 (1997): 283-291. <http://eudml.org/doc/77569>.

@article{Duheille1997,
author = {Duheille, Frédérique},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {harmonic morphism},
language = {fre},
number = {2},
pages = {283-291},
publisher = {Gauthier-Villars},
title = {Une preuve probabiliste élémentaire d'un résultat de P. Baird et J. C. Wood},
url = {http://eudml.org/doc/77569},
volume = {33},
year = {1997},
}

TY - JOUR
AU - Duheille, Frédérique
TI - Une preuve probabiliste élémentaire d'un résultat de P. Baird et J. C. Wood
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1997
PB - Gauthier-Villars
VL - 33
IS - 2
SP - 283
EP - 291
LA - fre
KW - harmonic morphism
UR - http://eudml.org/doc/77569
ER -

References

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  1. [1] P. Baird et J. Eells, A Conservation Law for Harmonic Maps, Geometry Symposium Utrecht 1980, Lecture Notes in Mathematics n° 894, Springer-Verlag. Zbl0485.58008MR655417
  2. [2] P. Baird et J.C. Wood, Bernstein Theorems for Harmonic Morphisms from R3 and S3, Math. Ann., vol. 280, 1988, p. 579-603. Zbl0621.58011MR939920
  3. [3] A. Bernard, E.A. Campbell et A.M. Davie, Brownian Motion and Generalized Analytic and Inner Functions, Ann. Inst. Fourier, vol. 29, 1979, p. 207-228. Zbl0386.30029MR526785
  4. [4] R. Durrett, Brownian Motion and Martingales in Analysis, Wadsworth, Monterey, Calif. (1984). Zbl0554.60075MR750829
  5. [5] B. Fuglede, Harmonic Morphisms between Riemannian Manifolds, Ann. Inst. Fourier, vol. 28, 1978, p. 107-144. Zbl0339.53026MR499588
  6. [6] L.L. Helms, Introduction to Potential Theory, Wiley-Interscience, New YorkLondonSydney (1969). Zbl0188.17203MR261018
  7. [7] C.G.J. Jacobi, Über eine particuläre Lösung der partiellen Differentialgleichung ∂2V/∂x2 + ∂2V/∂y2 + ∂2V/∂z2 = 0. Crelle Reine Angew. Math., vol. 36, 1847, p. 113-134. 
  8. [8] D. Revuz et M. Yor, Continuous Martingales and Brownian Motion, Springer-Verlag, BerlinHeidelbergNew York, 1991. Zbl0731.60002MR1083357

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