15 citations · 35 across the 20 of their papers we have counts for
20 papers
A scaling limit of crossing probabilities for critical percolation on the square lattice
Yu Zhang
We show the existence of a scaling limit for the crossing probabilities on the square lattice in an equilateral triangle for the critical percolation. We also show that Cardy's for…
A phase transformation for the number of optimal paths in first passage percolation
Yu Zhang
We consider the first passage percolation model on the square lattice with an edge weight distribution F. In this paper, we consider the number of optimal paths for two points sepa…
The height problem in first passage percolation
Yu Zhang
We consider the first passage percolation model in Z2 with a distribution F for 0 < F (0) < pc. In this paper, we solve the height problem.
The variance of the incipient infinite cluster in two-dimensional percolation
Yu Zhang
Consider bond percolation on the square lattice. Let be the incipient infinite cluster with the incipient measure . If a one-arm path exponent exists and equals $5/48…
Incipient infinite cluster in 2D Ising percolation
Yasunari Higuchi, Kazunari Kinoshita, Masato Takei +1
We consider the percolation problem in the high-temperature Ising model on the two-dimensional square lattice at or near critical external fields. The incipient infinite cluster (I…
Large deviations in the reinforced random walk model on trees
Yu Zhang
In this paper, we consider the linearly reinforced and the once-reinforced random walk models in the transient phase on trees. We show the large deviations for the upper tails for…