Critical path analysis for continuum percolation

Jiří Černý

Annales de l'I.H.P. Probabilités et statistiques (2004)

  • Volume: 40, Issue: 6, page 661-675
  • ISSN: 0246-0203

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Černý, Jiří. "Critical path analysis for continuum percolation." Annales de l'I.H.P. Probabilités et statistiques 40.6 (2004): 661-675. <http://eudml.org/doc/77828>.

@article{Černý2004,
author = {Černý, Jiří},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {conductivity; continuum percolation; Highly disordered systems; homogenisation},
language = {eng},
number = {6},
pages = {661-675},
publisher = {Elsevier},
title = {Critical path analysis for continuum percolation},
url = {http://eudml.org/doc/77828},
volume = {40},
year = {2004},
}

TY - JOUR
AU - Černý, Jiří
TI - Critical path analysis for continuum percolation
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2004
PB - Elsevier
VL - 40
IS - 6
SP - 661
EP - 675
LA - eng
KW - conductivity; continuum percolation; Highly disordered systems; homogenisation
UR - http://eudml.org/doc/77828
ER -

References

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  1. [1] V. Ambegaokar, B.I. Halperin, J.S. Langer, Hopping conductivity in disordered systems, Phys. Rev. B4 (1971) 2612-2620. 
  2. [2] E. Charlaix, E. Guyon, S. Roux, Permeability of a random array of fractures of widely varying apertures, Transp. Porous Media2 (1987) 31-43. 
  3. [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. [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. Zbl1115.82338MR1792682
  5. [5] G. Grimmett, Percolation, Springer-Verlag, 1999. Zbl0926.60004MR1707339
  6. [6] J.C. Gupta, B.V. Rao, Van den Berg–Kesten inequality for the Poisson boolean model for continuum percolation, Sankhya61 (1999) 336-346. Zbl0977.60100MR1743543
  7. [7] V.V. Jikov, S.M. Kozlov, O.A. Oleinik, Homogenization of Differential Operators and Integral Functionals, Springer-Verlag, 1994. Zbl0838.35001MR1329546
  8. [8] A.J. Katz, A.H. Thompson, Quantitative prediction of permeability in porous rock, Phys. Rev. B34 (11) (1986) 8179. 
  9. [9] T.M. Liggett, R.H. Schonmann, A.M. Stacey, Domination of product measures, Ann. Probab.25 (1997) 71-95. Zbl0882.60046MR1428500
  10. [10] R. Meester, R. Roy, Continuum Percolation, Cambridge University Press, 1996. Zbl0858.60092MR1409145
  11. [11] C.M. Newman, D.L. Stein, Ground-state structure in a highly disordered spin-glass model, J. Statist. Phys.82 (1996) 1113-1132. Zbl1042.82568MR1372437

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