2 papers
math.PR2025
One-arm exponents of the high-dimensional Ising model
Diederik van Engelenburg, Christophe Garban, Romain Panis +1
We study the probability that the origin is connected to the boundary of the box of size (the one-arm probability) in several percolation models related to the Ising model. We…
math.PR2025
One-arm exponents of high-dimensional percolation revisited
Diederik van Engelenburg, Christophe Garban, Romain Panis +1
We consider sufficiently spread-out Bernoulli percolation in dimensions . We present a short and simple proof of the up-to-constants estimate for the one-arm probability in…