most citedThe sizes of the pioneering, lowest crossing and pivotal sites in critical percolation on the triangular lattice

14 citations · 14 across the 3 of their papers we have counts for

collaborators

3 papers

math.PR2017

Laws relating runs, long runs, and steps in gambler's ruin, with persistence in two strata

Gregory J. Morrow

Define a certain gambler's ruin process $\mathbf{X}_{j}, \mbox{ \ }j\ge 0,$ such that the increments take values and satis…

math.PR2005★ 14 cited

The sizes of the pioneering, lowest crossing and pivotal sites in critical percolation on the triangular lattice

G. J. Morrow, Y. Zhang

Let L_n denote the lowest crossing of a square 2n\times2n box for critical site percolation on the triangular lattice imbedded in Z^2. Denote also by F_n the pioneering sites exten…

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…