@article{AFST_2005_6_14_2_201_0, author = {Olivier Couronn\'e}, title = {A large deviation result for the subcritical {Bernoulli} percolation}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {201--214}, publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques}, address = {Toulouse}, volume = {Ser. 6, 14}, number = {2}, year = {2005}, zbl = {1086.60530}, mrnumber = {2141181}, language = {en}, url = {https://afst.centre-mersenne.org/item/AFST_2005_6_14_2_201_0/} }
TY - JOUR AU - Olivier Couronné TI - A large deviation result for the subcritical Bernoulli percolation JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2005 SP - 201 EP - 214 VL - 14 IS - 2 PB - Université Paul Sabatier, Institut de Mathématiques PP - Toulouse UR - https://afst.centre-mersenne.org/item/AFST_2005_6_14_2_201_0/ LA - en ID - AFST_2005_6_14_2_201_0 ER -
%0 Journal Article %A Olivier Couronné %T A large deviation result for the subcritical Bernoulli percolation %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2005 %P 201-214 %V 14 %N 2 %I Université Paul Sabatier, Institut de Mathématiques %C Toulouse %U https://afst.centre-mersenne.org/item/AFST_2005_6_14_2_201_0/ %G en %F AFST_2005_6_14_2_201_0
Olivier Couronné. A large deviation result for the subcritical Bernoulli percolation. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 14 (2005) no. 2, pp. 201-214. https://afst.centre-mersenne.org/item/AFST_2005_6_14_2_201_0/
[1] Inequalities with applications to percolation and reliability theory, J. Appl. Prob. 22, p. 556-569 (1985). | MR | Zbl
, . -[2] Convex analysis and measurable multifunctions , Lectures Notes in Math 580, Springer (1977). | MR | Zbl
, -[3] Large Deviations of the Finite Cluster Shape for Two-Dimensional Percolation in the Hausdorff and L1 Metric, J. Theor. Prob. 13 (2000). | MR | Zbl
. -[4] Large deviation for three-dimensional supercritical percolation, Astérisque 267 (2000). | MR | Zbl
. -[5] Large deviations techniques and applications , 2nd edition, Springer, New York (1998). | MR | Zbl
, -[6] The Geometry of Fractals Sets , Cambridge (1986). | MR | Zbl
-[7] Correlation inequalities on some partially ordered sets, Commun. Math. Phys. 22, 89-103 (1971). | MR | Zbl
, , -[8] Random perturbations of dynamical systems, Springer-Verlag, New York (1984). | MR | Zbl
, -[9] Percolation, Second Edition, Springer 321 (1999). | MR | Zbl
-[10] A lower bound for the critical probability in a certain percolation process, Proc. Camb. Phil. Soc. 56, 13-20 (1960). | MR | Zbl
. -[11] Linear speed large deviations for percolation clusters, Preprint (2003). | MR | Zbl
, -