3 citations · 3 across the 8 of their papers we have counts for
8 papers
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…
The critical KPZ scale for the Averaging Process
Hindy Drillick, Shalin Parekh, Federico Sau
KPZ-type extremal fluctuations have recently been proved for several models of random walks in space-time random environments (RWRE) in dimensions. A general moment criterion…
-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 -regular graph, , and prove an -cutoff with an explicit cutoff time. Somewhat surprisingly, we u…
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…
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,…
One- and two-particle spectral gap identities for the symmetric inclusion process and related models
Seonwoo Kim, Federico Sau
The symmetric inclusion process (SIP) models particles diffusing on a graph with mutual attraction. We recently showed that, in the log-concave regime (where diffusivity dominates…
Repeated Block Averages: entropic time and mixing profiles
Pietro Caputo, Matteo Quattropani, Federico Sau
We consider randomized dynamics over the -simplex, where at each step a random set, or block, of coordinates is evenly averaged. When all blocks have size 2, this reduces to the…
Concentration and local smoothness of the averaging process
Federico Sau
We consider the averaging process on the discrete -dimensional torus. On this graph, the process is known to converge to equilibrium on diffusive timescales, not exhibiting cuto…