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Название: Critical Behavior of the Two-Dimensional First Passage Time
Авторы: Chayes J.T., Chayes L., Durrett R.
We study the two-dimensional first passage problem in which bonds have zero and unit passage times with probability p and 1 p, respectively. We prove that as the zero-time bonds approach the percolation threshold p_c, the first passage time exhibits the same critical behavior as the correlation function of the underlying percolation problem.