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Improved Lower Bounds for the Critical Probability of Oriented Bond Percolation in Two Dimensions

✍ Scribed by Vladimir Belitsky; Thomas Logan Ritchie


Publisher
Springer
Year
2006
Tongue
English
Weight
246 KB
Volume
122
Category
Article
ISSN
0022-4715

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A new lower bound for the critical proba
✍ J. van den Berg; A. Ermakov πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 705 KB

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,