3 papers
math.PR2026
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…
math.PR2025
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…
math.PR2025
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…