Pietro Caputo

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20242026

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math.PR2026

Aldous' spectral gap phenomena in stochastic exchange models

Pietro Caputo, Matteo Quattropani, Federico Sau

We consider a broad class of exchange dynamics with arbitrary weighted graph or hypergraph update structures, which includes the Kipnis--Marchioro--Presutti (KMP) model and the ene…

math.PR2026

$L^{2}$ -cutoff for the averaging process on random regular graphs

Pietro Caputo, Matteo Quattropani, Federico Sau

We study the mixing time of the averaging process on a large random $d$ -regular graph, $d \geq 3$ , and prove an $L^{2}$ -cutoff with an explicit cutoff time. Somewhat surprisingly, we u…

Aldous' spectral gap phenomena in stochastic exchange models

L2-cutoff for the averaging process on random regular graphs

$L^{2}$ -cutoff for the averaging process on random regular graphs