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A large deviation result for the subcritical Bernoulli percolation

Olivier Couronné

Annales de la Faculté des sciences de Toulouse : Mathématiques (2005)

  • Volume: 14, Issue: 2, page 201-214
  • ISSN: 0240-2963

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Couronné, Olivier. "A large deviation result for the subcritical Bernoulli percolation." Annales de la Faculté des sciences de Toulouse : Mathématiques 14.2 (2005): 201-214. <http://eudml.org/doc/73648>.

@article{Couronné2005,
author = {Couronné, Olivier},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
language = {eng},
number = {2},
pages = {201-214},
publisher = {Université Paul Sabatier, Institut de Mathématiques},
title = {A large deviation result for the subcritical Bernoulli percolation},
url = {http://eudml.org/doc/73648},
volume = {14},
year = {2005},
}

TY - JOUR
AU - Couronné, Olivier
TI - A large deviation result for the subcritical Bernoulli percolation
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2005
PB - Université Paul Sabatier, Institut de Mathématiques
VL - 14
IS - 2
SP - 201
EP - 214
LA - eng
UR - http://eudml.org/doc/73648
ER -

References

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  3. [3] Cerf ( R.) . - Large Deviations of the Finite Cluster Shape for Two-Dimensional Percolation in the Hausdorff and L1 Metric, J. Theor. Prob.13 (2000). Zbl0974.60089MR1777542
  4. [4] Cerf ( R.) . - Large deviation for three-dimensional supercritical percolation, Astérisque267 (2000). Zbl0962.60002MR1774341
  5. [5] Dembo ( A.) , Zeitouni ( O.). - Large deviations techniques and applications , 2nd edition, Springer, New York (1998). Zbl0896.60013MR1619036
  6. [6] Falconer ( K.J. ). — The Geometry of Fractals Sets , Cambridge (1986). Zbl0587.28004MR867284
  7. [7] Fortuin ( C. ), Kasteleyn ( P.), Ginibre ( J.). - Correlation inequalities on some partially ordered sets, Commun. Math. Phys.22, 89-103 (1971). Zbl0346.06011MR309498
  8. [8] Freidlin ( M.I. ), Wentzell ( A.D.). - Random perturbations of dynamical systems, Springer-Verlag, New York (1984). Zbl0522.60055MR722136
  9. [9] Grimmett ( G. ). — Percolation, Second Edition, Springer321 (1999). Zbl0926.60004MR1707339
  10. [10] Harris ( T.E. ) . - A lower bound for the critical probability in a certain percolation process, Proc. Camb. Phil. Soc.56, 13-20 (1960). Zbl0122.36403MR115221
  11. [11] Kovchegov ( Y. ), Sheffield ( S.). — Linear speed large deviations for percolation clusters, Preprint (2003). Zbl1060.60097MR2042757

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