Backbone exponent and annulus crossing probability for planar
percolation
Backbone exponent and annulus crossing probability for planar
percolation
We report the recent derivation of the backbone exponent for 2D percolation. In contrast to previously known exactly solved percolation exponents, the backbone exponent is a transcendental number, which is a root of an elementary equation. We also report an exact formula for the probability that there are two disjoint …