Dear all,
On Wednesday, October 16th, at 14h00 in Aula D'Antoni of Tor Vergata Math Department, RoMaDS (https://www.mat.uniroma2.it/~rds/events.php) will host
Alessandra Bianchi (University of Padova) with the seminar
"Mixing cutoff for simple random walks on the Chung-Lu directed graph”
Abstract: In this talk, we consider a simple random walk defined on a Chung-Lu directed graph, an inhomogeneous random network that extends the Erdos Renyi random digraph by including edges independently according to given Bernoulli laws. In this non-reversible setting, we will focus on the convergence toward the equilibrium of the dynamics. In particular, under the assumption that the average degree grows logarithmically in the size n of the graph (weakly dense regime), we will establish a cutoff phenomenon at the entropic time of order log(n)/loglog(n). We will then show that on a precise window the cutoff profile converges to the Gaussian tail function. This is qualitatively similar to what was proved in a series of works by Bordenave, Caputo, Salez for the directed configuration model, where degrees are deterministically fixed. In terms of statistical ensembles, this analysis provides an extension of these cutoff results from a hard to a soft-constrained model. Joint work with G. Passuello.
We encourage in-person partecipation. Should you be unable to come, here is the link to the Teams streaming:
https://teams.microsoft.com/l/meetup-join/19%3arfsL73KX-fw86y1YnXq2nk5VnZFwP... https://teams.microsoft.com/l/meetup-join/19%3arfsL73KX-fw86y1YnXq2nk5VnZFwPU-iIPEmqet8NCg1%40thread.tacv2/1728476961074?context={%22Tid%22%3a%2224c5be2a-d764-40c5-9975-82d08ae47d0e%22%2c%22Oid%22%3a%22650fc4a8-4cec-4bd2-87bc-90d134074fe6%22} https://teams.microsoft.com/l/meetup-join/19%3arfsL73KX-fw86y1YnXq2nk5VnZFwP... The seminar is part of the Excellence Project MatMod@TOV.