Federico Sau

collaborators

3 papers

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…

math.PR2025

A universal cutoff phenomenon for mean-field exchange models

Pietro Caputo, Matteo Quattropani, Federico Sau

We study a broad class of high-dimensional mean-field exchange models, encompassing both noisy and singular dynamics, along with their dual processes. This includes a generalized v…

math.PR2025

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs

Seonwoo Kim, Matteo Quattropani, Federico Sau

We present a simple strategy to derive universal bounds on the spectral gap of reversible stochastic exchange models on arbitrary graphs. The Kipnis-Marchioro-Presutti (KMP) model,…

L2-cutoff for the averaging process on random regular graphs

A universal cutoff phenomenon for mean-field exchange models

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs

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