Author

Federico Sau

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Preprint Sep 2026

Aldous'spectral gap phenomena in stochastic exchange models

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 energies of Kac's walk on the sphere. These are conservative continuous-spin systems whose reversible measures are Dirichlet distributions. We...

Pietro Caputo, Matteo Quattropani, Federico Sau · 0 citations

Preprint Jul 2026

The critical KPZ scale for the Averaging Process

KPZ-type extremal fluctuations have recently been proved for several models of random walks in space-time random environments (RWRE) in $1+1$ dimensions. A general moment criterion predicts the spatial scale at which this behavior should occur, but does not by itself guarantee non-trivial fluctuations at that scale. In...

Hindy Drillick, Shalin Parekh, Federico Sau · 0 citations