Fluctuation results for brownian motion in a poissonian potential

Mario V. Wüthrich

Annales de l'I.H.P. Probabilités et statistiques (1998)

  • Volume: 34, Issue: 3, page 279-308
  • ISSN: 0246-0203

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Wüthrich, Mario V.. "Fluctuation results for brownian motion in a poissonian potential." Annales de l'I.H.P. Probabilités et statistiques 34.3 (1998): 279-308. <http://eudml.org/doc/77604>.

@article{Wüthrich1998,
author = {Wüthrich, Mario V.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
language = {eng},
number = {3},
pages = {279-308},
publisher = {Gauthier-Villars},
title = {Fluctuation results for brownian motion in a poissonian potential},
url = {http://eudml.org/doc/77604},
volume = {34},
year = {1998},
}

TY - JOUR
AU - Wüthrich, Mario V.
TI - Fluctuation results for brownian motion in a poissonian potential
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1998
PB - Gauthier-Villars
VL - 34
IS - 3
SP - 279
EP - 308
LA - eng
UR - http://eudml.org/doc/77604
ER -

References

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  3. [3] H. Kesten, On the speed of convergence in first-passage percolation. Ann. Appl. Prob., Vol. 3, 1993, pp. 296-338. Zbl0783.60103MR1221154
  4. [4] C. Licea, C.M. Newman and M.S.T. Piza, Superdiffusivity in first-passage percolation. Prob. Theory Rel. Fields, Vol. 106, 1996, pp. 559-591. Zbl0870.60096MR1421992
  5. [5] C.M. Newman and M.S.T. Piza, Divergence of shape fluctuations in two dimensions. Ann. Prob., Vol. 23, 1995, pp. 977-1005. Zbl0835.60087MR1349159
  6. [6] A.S. Sznitman, Shape theorem, Lyapounov exponents and large deviations for Brownian motion in a Poissonian potential. Comm. Pure Appl. Math., Vol. 47, 12, 1994, pp. 1655-1688. Zbl0814.60022MR1303223
  7. [7] A.S. Sznitman, Crossing velocities and random lattice animals. Ann. Prob., Vol. 23, 1995, pp. 1006-1023. Zbl0926.60083MR1349160
  8. [8] A.S. Sznitman, Distance fluctuations and Lyapounov exponents. Ann. Prob., Vol. 24, 1996, pp. 1507-1530. Zbl0871.60088MR1411504
  9. [9] J. Wehr and M. Aizenman, Fluctuations of extensive functions of quenched random couplings.J. Stat. Phys., Vol. 60, 1990, pp. 287-306. Zbl0718.60129MR1069633
  10. [10] M.V. Wüthrich, Superdiffusive behaviour of two dimensional Brownian motion in a Poissonian potential. To appear in The Annals of Probability. Zbl0935.60099MR1634412

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