On the stationary measures of the critical Ornstein--Uhlenbeck process

Jean-Dominique Deuschel, Jonas Köppl, Yannic Steenbeck +1

We study linear and symmetric diffusion processes on ${\mathbb{R}}^{{\mathbb{Z}}^d}$ that can be seen as the Langevin dynamics of the (inhomogeneous) harmonic crystal for given conduct…