5 papers
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…
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…
-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,…