Percolation on fuchsian groups

Steven P. Lalley

Annales de l'I.H.P. Probabilités et statistiques (1998)

  • Volume: 34, Issue: 2, page 151-177
  • ISSN: 0246-0203

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Lalley, Steven P.. "Percolation on fuchsian groups." Annales de l'I.H.P. Probabilités et statistiques 34.2 (1998): 151-177. <http://eudml.org/doc/77598>.

@article{Lalley1998,
author = {Lalley, Steven P.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {percolation; dual Dirichlet tiling graph; Fuchsian group; hyperbolic triangle groups},
language = {eng},
number = {2},
pages = {151-177},
publisher = {Gauthier-Villars},
title = {Percolation on fuchsian groups},
url = {http://eudml.org/doc/77598},
volume = {34},
year = {1998},
}

TY - JOUR
AU - Lalley, Steven P.
TI - Percolation on fuchsian groups
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1998
PB - Gauthier-Villars
VL - 34
IS - 2
SP - 151
EP - 177
LA - eng
KW - percolation; dual Dirichlet tiling graph; Fuchsian group; hyperbolic triangle groups
UR - http://eudml.org/doc/77598
ER -

References

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  11. [11] W. Magnus, Noneuclidean Tessellations and their Groups, Academic Press, 1974. Zbl0293.50002MR352287
  12. [12] W. Magnus, A. Karrass and D. Solitar, Combinatorial Group Theory, Wiley & Sons, 1966. 
  13. [13] C.M. Newman and L. Schulman, Infinite clusters in percolation models. J. Statistical Ph., Vol. 26, 1981, pp. 613-628. Zbl0509.60095MR648202
  14. [14] R. Pemantle, The contact process on trees. Annals of Probability, Vol. 20, 1992, pp. 2089-2169. Zbl0762.60098MR1188054
  15. [15] A. Selberg, On discontinuous groups in higher dimensional symmetric spaces. Int. Colloq. Function Th., Tata Institute, 1960. Zbl0201.36603MR130324
  16. [16] A. Stacey, The existence of an intermediate phase for the contact process on trees. Annals of Probability, Vol. 24, 1996. Zbl0878.60061MR1415226

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