We obtain estimates on the exponential rate of decay of the relative entropy from equilibrium for Markov processes with a non-local infinitesimal generator. We adapt some of the ideas coming from the Bakry-Emery approach to this setting. In particular, we obtain volume- independent lower bounds for the Glauber dynamics of interacting point particles and for various classes of hardcore models.
"Entropy decay for interacting systems via the Bochner-Bakry-Émery approach." Electron. J. Probab. 18 1 - 21, 2013. https://doi.org/10.1214/EJP.v18-2041