J. Jonasson

The mixing time of Mean-Field Gibbs-Ornstein-Uhlenbeck processes

We introduce mean-field Gibbs--Ornstein--Uhlenbeck (MFGOU) processes, a class of discrete-time Markov processes with increments of order $1/n$, whose conditional means approximate a smooth vector field. If the field has a unique attracting zero and satisfies a global Lyapunov condition, we prove \[ \tau_{\mathrm{mix}}...