A simple proof of exponential decay in the two dimensional percolation model

نویسنده

  • Yu Zhang
چکیده

In 1980, Kesten showed the exponential decay of percolation probability in the subcritical phase for the two-dimensional percolation model. This result implies his celebrated computation that pc = 0.5 for bond percolation in the square lattice, and site percolation in the triangular lattice, respectively. In this paper, we present a simpler proof for Kesten’s theorem.

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تاریخ انتشار 2008