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Catalan numbers in a series expansion of the directed percolation probability on a square lattice

✍ Scribed by Inui, Norio; Katori, Makoto


Book ID
120443288
Publisher
Institute of Physics
Year
1996
Tongue
English
Weight
177 KB
Volume
29
Category
Article
ISSN
0305-4470

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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,