English

Revision of upper estimate of percolation threshold on square lattice

Mathematical Physics 2007-05-23 v1 math.MP Probability

Abstract

The more exact upper estimate of the percolation threshold for the {\it site problem} on the quadratic lattice Z2{\Bbb Z}^2 have been found on the basis of the cluster decomposition. It is done by the number estimate of cycles on Z2{\Bbb Z}^2 which maybe external boundaries of finite clusters

Keywords

Cite

@article{arxiv.math-ph/0204033,
  title  = {Revision of upper estimate of percolation threshold on square lattice},
  author = {Yu. P. Virchenko and Yu. A. Tolmacheva},
  journal= {arXiv preprint arXiv:math-ph/0204033},
  year   = {2007}
}

Comments

9 pages, 1 figure