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math.PR2024
The top eigenvalue of uniformly random trees
Louigi Addario-Berry, Gábor Lugosi, Roberto Imbuzeiro Oliveira
Let be a uniformly random tree with vertex set , let be the largest vertex degree in , and let $λ_1({\mathbf…
math.ST2024
Geometric planted matchings beyond the Gaussian model
Lucas da Rocha Schwengber, Roberto Imbuzeiro Oliveira
We consider the problem of recovering an unknown matching between a set of randomly placed points in and random perturbations of these points. This can be seen a…