4 papers · 1 filter
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…
High-intensity Voronoi percolation on manifolds
Tillmann Bühler, Barbara Dembin, Ritvik Ramanan Radhakrishnan +1
We study Voronoi percolation on a large class of -dimensional Riemannian manifolds, which includes the hyperbolic spaces , . We prove that as the intensit…
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…
Elliptic Harnack Inequality for
Siva Athreya, Nitya Gadhiwala, Ritvik R. Radhakrishnan
We prove the scale invariant Elliptic Harnack Inequality (EHI) for non-negative harmonic functions on . The purpose of this note is to provide a simplified self-con…