Thursday, November 8, 2012

1211.1521 (Masayuki Ohzeki)

Duality with real-space renormalization and its application to bond
percolation
   [PDF]

Masayuki Ohzeki
We obtain the exact solution of the bond-percolation thresholds with inhomogenous probabilities on the square lattice. Our method is based on the duality analysis with real-space renormalization, which is a profound technique invented in the spin-glass theory. Our formulation is a more straightforward way compared to the very recent study on the same problem [R. M. Ziff, et. al., arXiv:1210.6609].
View original: http://arxiv.org/abs/1211.1521

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