Geodesics and crossing brownian motion in a soft poissonian potential

Mario V. Wüthrich

Annales de l'I.H.P. Probabilités et statistiques (1999)

  • Volume: 35, Issue: 4, page 509-529
  • ISSN: 0246-0203

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Wüthrich, Mario V.. "Geodesics and crossing brownian motion in a soft poissonian potential." Annales de l'I.H.P. Probabilités et statistiques 35.4 (1999): 509-529. <http://eudml.org/doc/77638>.

@article{Wüthrich1999,
author = {Wüthrich, Mario V.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Brownian motion; soft Poissonian potential; geodesics; shape theorem; first passage percolation; Lyapunov coefficients},
language = {eng},
number = {4},
pages = {509-529},
publisher = {Gauthier-Villars},
title = {Geodesics and crossing brownian motion in a soft poissonian potential},
url = {http://eudml.org/doc/77638},
volume = {35},
year = {1999},
}

TY - JOUR
AU - Wüthrich, Mario V.
TI - Geodesics and crossing brownian motion in a soft poissonian potential
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1999
PB - Gauthier-Villars
VL - 35
IS - 4
SP - 509
EP - 529
LA - eng
KW - Brownian motion; soft Poissonian potential; geodesics; shape theorem; first passage percolation; Lyapunov coefficients
UR - http://eudml.org/doc/77638
ER -

References

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  5. [5] J.M. Hammersley and D.J.A. Welsh, First passage percolation, subadditive processes, stochastic networks, and generalized renewal theory, in: Bernoulli, Bayes, Laplace, Anniversairy Volume, Springer, 1965, pp. 61-110. Zbl0143.40402MR198576
  6. [6] H. Kesten, Aspects of first-passage percolation, in: P.L. Hennequin, ed., Ecole d'été de Probabilités de St. Flour XIV-1984, Lecture Notes in Math., Vol. 1180, Springer, 1985, pp. 125-264. Zbl0602.60098MR876084
  7. [7] T.M. Liggett, Interacting Particle Systems, Springer, New York, 1985. Zbl0559.60078MR776231
  8. [8] R. Meester and R. Roy, Continuum Percolation, University Press, Cambridge, 1996. Zbl0858.60092MR1409145
  9. [9] A. Sarkar, Co-existence of the occupied and vacant phase in boolean models in three and more dimensions, Adv. Appl. Prob.29 (1997) 878-889. Zbl0903.60086MR1484772
  10. [10] A.S. Sznitman, Shape theorem, Lyapounov exponents and large deviations for Brownian motion in a Poissonian potential, Commun. Pure Appl. Math.47 (12) (1994) 1655-1688. Zbl0814.60022MR1303223
  11. [11] A.S. Sznitman, Brownian Motion, Obstacles and Random Media, Springer Monographs in Mathematics, Berlin, Heidelberg, 1998. Zbl0973.60003MR1717054
  12. [12] M.P.W. Zerner, Directional decay of Green's function for a nonnegative potential on Zd, Ann. Appl. Prob.8 (1) (1998) 246-280. Zbl0938.60098MR1620370

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