Seuils de percolation en dimension deux

D. Tibi

Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications (1984)

  • Volume: 78, Issue: 2, page 57-132
  • ISSN: 0246-1501

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Tibi, D.. "Seuils de percolation en dimension deux." Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications 78.2 (1984): 57-132. <http://eudml.org/doc/80610>.

@article{Tibi1984,
author = {Tibi, D.},
journal = {Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications},
keywords = {percolation; clusters; critical values},
language = {fre},
number = {2},
pages = {57-132},
publisher = {UER de Sciences exactes et naturelles de l'Université de Clermont},
title = {Seuils de percolation en dimension deux},
url = {http://eudml.org/doc/80610},
volume = {78},
year = {1984},
}

TY - JOUR
AU - Tibi, D.
TI - Seuils de percolation en dimension deux
JO - Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
PY - 1984
PB - UER de Sciences exactes et naturelles de l'Université de Clermont
VL - 78
IS - 2
SP - 57
EP - 132
LA - fre
KW - percolation; clusters; critical values
UR - http://eudml.org/doc/80610
ER -

References

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  1. 1) Fortuin, C.M., Kasteleyn, P.W., Ginibre, J.: Correlation inequalities on some partially ordered sets. Comm. Math. Phys.22, 89-103 (1971). Zbl0346.06011MR309498
  2. 2) Harris, T.E.: A lower bound for the critical probability in a certain percolation process. Proc. Cambridge - Phil. Soc.56, 13-20 (1960). Zbl0122.36403MR115221
  3. 3) Kesten, H.: The critical probability of bond percolation on the square lattice equals ½. Commun. Math. Phys.74, 41-59 (1980). Zbl0441.60010MR575895
  4. 4) Kesten, H.: Percolation theory for mathematicians. Birkhauser, Boston (1982). Zbl0522.60097MR692943
  5. 5) Russo, L.: A note on percolation. Z. Wahrscheinlichkeitstheorie verw. Gebiete43, 39-48 (1978). Zbl0363.60120MR488383
  6. 6) Russo, L.: On the critical percolation probabilities. Z. Wahrscheinlichkeitstheorie verw. Gebiete56, 229-237 (1981). Zbl0457.60084MR618273
  7. 7) Russo, L.: An approximate zero-one law. Z. Wahrscheinlichkeitstheorie verw. Gebiete61, 129-139 (1982). Zbl0501.60043MR671248
  8. 8) Seymour, P.D., Welsh, D.J.A.: Percolation probabilities on the square lattice. Ann. Discrete. Math.3, 227-245 (1978). Zbl0405.60015MR494572
  9. 9) Sykes, M.F., Essam, J.W.: Exact critical percolation probabilities for site and bond problems in two dimensions. J. Math. Phys.5, 1117-1127 (1964). MR164680
  10. 10) Wierman, J.C.: Bond percolation on honeycomb and triangular lattices. Adv. Appl. Prob.13, 293-313 (1981). Zbl0457.60085MR612205

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