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References

  1. Aizenman, M., Chayes, J. T., Chayes, L., Fröhlich, J., Russo, L. On a sharp transition from area law to perimeter law in a system of random surfaces. Comm. Math. Phys. 92 (1983), 19--69. MR0728447 (85d:82006)
  2. Atapour, M., Madras, N. On the number of entangled clusters, J. Statist. Phys. (2010), to appear.
  3. Dirr, N., Dondl, P. W., Scheutzow, M. Pinning of interfaces in random media, (2009), arXiv:0911.4254.
  4. Gielis, G., Grimmett, G. R. Rigidity of the interface in percolation and random-cluster models. J. Statist. Phys. 109 (2002), 1--37. MR1927913 (2003h:82037)
  5. Grimmett, G. R.. Percolation. Second edition. Grundlehren der Mathematischen Wissenschaften, 321. Springer-Verlag, Berlin, 1999. xiv+444 pp. ISBN: 3-540-64902-6 MR1707339 (2001a:60114)
  6. Grimmett, G. R. Three problems for the clairvoyant demon, Probability and Mathematical Genetics (N. H. Bingham and C. M. Goldie, eds.), Cambridge University Press, Cambridge, 2010, pp. 379--395.
  7. Grimmett, G. R., Holroyd, A. E. Entanglement in percolation. Proc. London Math. Soc. 81 (2000), 485--512. MR1770617 (2001j:60185)
  8. Grimmett, G. R., Holroyd, A. E. Lattice embeddings in percolation, (2010), in preparation.
  9. Grimmett, G. R., Holroyd, A. E. Plaquettes, spheres, and entanglement, (2010), in preparation.
  10. Holroyd, A. E. Existence of a phase transition for entanglement percolation. Math. Proc. Cambridge Philos. Soc. 129 (2000), 231--251. MR1765912 (2001k:82051)


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