Sahar Diskin

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20242026

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math.PR2026

Diameter and mixing time of the giant component in the percolated hypercube

Michael Anastos, Sahar Diskin, Lyuben Lichev +1

We consider bond percolation on the $d$ -dimensional binary hypercube with $p = c / d$ for fixed $c > 1$ . We prove that the typical diameter of the giant component $L_{1}$ is of order $Î(d…

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 $n$ decays exponentiall…