Critical path analysis for continuum percolation
Annales de l'I.H.P. Probabilités et statistiques, Tome 40 (2004) no. 6, pp. 661-675. 
@article{AIHPB_2004__40_6_661_0,
     author = {\v{C}ern\'y, Ji\v{r}{\'\i}},
     title = {Critical path analysis for continuum percolation},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {661--675},
     publisher = {Elsevier},
     volume = {40},
     number = {6},
     year = {2004},
     doi = {10.1016/j.anihpb.2004.05.001},
     mrnumber = {2096213},
     zbl = {1059.60096},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/j.anihpb.2004.05.001/}
}
TY  - JOUR
AU  - Černý, Jiří
TI  - Critical path analysis for continuum percolation
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 2004
SP  - 661
EP  - 675
VL  - 40
IS  - 6
PB  - Elsevier
UR  - http://www.numdam.org/articles/10.1016/j.anihpb.2004.05.001/
DO  - 10.1016/j.anihpb.2004.05.001
LA  - en
ID  - AIHPB_2004__40_6_661_0
ER  - 
%0 Journal Article
%A Černý, Jiří
%T Critical path analysis for continuum percolation
%J Annales de l'I.H.P. Probabilités et statistiques
%D 2004
%P 661-675
%V 40
%N 6
%I Elsevier
%U http://www.numdam.org/articles/10.1016/j.anihpb.2004.05.001/
%R 10.1016/j.anihpb.2004.05.001
%G en
%F AIHPB_2004__40_6_661_0
Černý, Jiří. Critical path analysis for continuum percolation. Annales de l'I.H.P. Probabilités et statistiques, Tome 40 (2004) no. 6, pp. 661-675. doi : 10.1016/j.anihpb.2004.05.001. http://www.numdam.org/articles/10.1016/j.anihpb.2004.05.001/

[1] V. Ambegaokar, B.I. Halperin, J.S. Langer, Hopping conductivity in disordered systems, Phys. Rev. B 4 (1971) 2612-2620.

[2] E. Charlaix, E. Guyon, S. Roux, Permeability of a random array of fractures of widely varying apertures, Transp. Porous Media 2 (1987) 31-43.

[3] M. Cieplak, A. Maritan, J.-R. Banavar, Optimal path and domain walls in the strong disorder limit, Phys. Rev. Lett. 72 (15) (1994) 2320-2323.

[4] K. Golden, S.M. Kozlov, Critical path analysis of transport in highly disordered random media, in: Berdichevsky V., Jikov V., Papanicolaou G. (Eds.), Homogenization, World Scientific, 1999, pp. 21-34. | MR | Zbl

[5] G. Grimmett, Percolation, Springer-Verlag, 1999. | MR | Zbl

[6] J.C. Gupta, B.V. Rao, Van den Berg-Kesten inequality for the Poisson boolean model for continuum percolation, Sankhya 61 (1999) 336-346. | MR | Zbl

[7] V.V. Jikov, S.M. Kozlov, O.A. Oleinik, Homogenization of Differential Operators and Integral Functionals, Springer-Verlag, 1994. | MR | Zbl

[8] A.J. Katz, A.H. Thompson, Quantitative prediction of permeability in porous rock, Phys. Rev. B 34 (11) (1986) 8179.

[9] T.M. Liggett, R.H. Schonmann, A.M. Stacey, Domination of product measures, Ann. Probab. 25 (1997) 71-95. | MR | Zbl

[10] R. Meester, R. Roy, Continuum Percolation, Cambridge University Press, 1996. | MR | Zbl

[11] C.M. Newman, D.L. Stein, Ground-state structure in a highly disordered spin-glass model, J. Statist. Phys. 82 (1996) 1113-1132. | MR | Zbl

Cité par Sources :