Yu Zhang

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math.PR2005

The distribution of the minimum height among pivotal sites in critical two-dimensional percolation

Gregory J. Morrow, Yu Zhang

Let L_n denote the lowest crossing of the 2n \times 2n square box B(n) centered at the origin for critical site percolation on Z^2 or critical site percolation on the triangular la…

math.PR2005★ 4 cited

Singularity points for first passage percolation

J. E. Yukich, Yu Zhang

Let $0 < a < b < \infty$ be fixed scalars. Assign independently to each edge in the lattice $Z^{2}$ the value $a$ with probability $p$ or the value $b$ with probability $1 - p$ . For…