Internal DLA in a random environment

Gérard Ben Arous; Jeremy Quastel; Alejandro F. Ramírez

Annales de l'I.H.P. Probabilités et statistiques (2003)

  • Volume: 39, Issue: 2, page 301-324
  • ISSN: 0246-0203

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Ben Arous, Gérard, Quastel, Jeremy, and Ramírez, Alejandro F.. "Internal DLA in a random environment." Annales de l'I.H.P. Probabilités et statistiques 39.2 (2003): 301-324. <http://eudml.org/doc/77764>.

@article{BenArous2003,
author = {Ben Arous, Gérard, Quastel, Jeremy, Ramírez, Alejandro F.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {internal diffusion; limited aggregation; random growth model; saturation},
language = {eng},
number = {2},
pages = {301-324},
publisher = {Elsevier},
title = {Internal DLA in a random environment},
url = {http://eudml.org/doc/77764},
volume = {39},
year = {2003},
}

TY - JOUR
AU - Ben Arous, Gérard
AU - Quastel, Jeremy
AU - Ramírez, Alejandro F.
TI - Internal DLA in a random environment
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2003
PB - Elsevier
VL - 39
IS - 2
SP - 301
EP - 324
LA - eng
KW - internal diffusion; limited aggregation; random growth model; saturation
UR - http://eudml.org/doc/77764
ER -

References

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  1. [1] G. Ben Arous, A.F. Ramírez, Asymptotic survival probabilities in the random saturation process, Ann. Probab.28 (4) (2000) 1470-1527. Zbl1108.60315MR1813832
  2. [2] G. Ben Arous, A.F. Ramírez, Growth and saturation in random media, in: Stochastic Processes, Physics and Geometry: New Interplays, I (Leipzig, 1999), CMS Conf. Proc., 28, American Mathematical Society, Providence, RI, 2000, pp. 41-54. Zbl0972.60100MR1803377
  3. [3] S. Blachère, Agrégation limitée par diffusion interne sur Zd, Ann. Inst. H. Poincaré Prob. Stat.38 (4) (2002) 613-648. Zbl1001.60051MR1914941
  4. [4] J. Gravner, J. Quastel, Internal DLA and the Stefan problem, Ann. Probab.28 (4) (2000) 1528-1562. Zbl1108.60318MR1813833
  5. [5] G. Lawler, Subdiffusive fluctuations for internal diffusion limited aggregation, Ann. Probab.23 (1) (1995) 71-86. Zbl0835.60086MR1330761
  6. [6] G. Lawler, M. Bramson, D. Griffeath, Internal diffusion limited aggregation, Ann. Probab.20 (1992) 2117-2140. Zbl0762.60096MR1188055
  7. [7] T.M. Liggett, Random invariant measures for Markov chains and independent particle systems, Z. Wahr. Verw. Geb.45 (1978) 297-313. Zbl0373.60076MR511776
  8. [8] J. Quastel, Free boundary problem and hydrodynamic limit, in: Feng S., Lawniczak A.T., Varadhan S.R.S. (Eds.), Hydrodynamic Limits and Related Topics, American Mathematical Society, Providence, RI, 2000. Zbl1139.82330MR1798647

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