19 citations · 21 across the 3 of their papers we have counts for
3 papers
math.PR2013
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…
math.PR2010★ 2 cited
Basic techniques in two-dimensional critical Ising percolation with investigation of scaling relations
Yasunari Higuchi, Masato Takei, Yu Zhang
We consider the percolation problem in the high-temperature Ising model on the two-dimensional square lattice at/near critical external fields. We show that all scaling relations,…
math.PR1999★ 19 cited
Percolation and number of phases in the 2D Ising model
H. -O. Georgii, Y. Higuchi
We reconsider the percolation approach of Russo, Aizenman and Higuchi for showing that there exist only two phases in the Ising model on the square lattice. We give a fairly short…