4 papers
Supercritical sharpness of percolation
Sahar Diskin, Philip Easo, Ritvik Ramanan Radhakrishnan +2
We prove that for supercritical percolation on every infinite transitive graph, the probability that the origin belongs to a finite cluster of size at least decays exponentiall…
Strict inequalities for arm exponents in planar percolation
Ritvik Ramanan Radhakrishnan, Vincent Tassion
We discuss a general method to prove quantitative improvements on correlation inequalities and apply it to arm estimates for Bernoulli bond percolation on the square lattice. Our f…
Noise sensitivity of crossings for high temperature Ising model
Vincent Tassion, Hugo Vanneuville
Consider the event that there is a crossing from left to right in a box for the Ising model on the triangular lattice. We show that this event is noise sensitive under Glauber…
Counting minimal cutsets and
Philip Easo, Franco Severo, Vincent Tassion
We prove two results concerning percolation on general graphs. - We establish the converse of the classical Peierls argument: if the critical parameter for (uniform) percolation sa…