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Majorant estimates for the percolation threshold of a Bernoulli field on a square lattice

✍ Scribed by Yu. P. Virchenko; Yu. A. Tolmacheva


Publisher
Springer
Year
2005
Tongue
English
Weight
372 KB
Volume
57
Category
Article
ISSN
0041-5995

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A new lower bound for the critical proba
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The critical probability for site percolation on the square lattice is not known exactly. Several authors have given rigorous upper and lower bounds. Some recent lower bounds are (each displayed here with the first three digits) 0.503 (Toth [13]), 0.522 (Zuev [15]), and the best lower bound so far,