Incipient infinite cluster in 2D Ising percolation

Abstract

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 (IIC) measure in the sense of Kesten is constructed. As a consequence, we can obtain some geometric properties of IIC. The result holds also for the triangular lattice.

8 pages

References in corpus (1)

• Basic techniques in two-dimensional critical Ising percolation with investigation of scaling relations