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math.PR2023
Potts and random cluster measures on locally regular-tree-like graphs
Anirban Basak, Amir Dembo, Allan Sly
Fixing and an integer , consider the ferromagnetic -Potts measures on finite graphs on vertices, with external field strength $B \g…
math.PR2023
Large deviations of the largest eigenvalue of supercritical sparse Wigner matrices
Fanny Augeri, Anirban Basak
Consider a random symmetric matrix with i.i.d.~entries on and above its diagonal that are products of Bernoulli random variables and random variables with sub-Gaussian tails. Such…