Recoverable Systems as Interaction Models: A Study by Example

We study recoverable systems on the 2D lattice using tools from statistical mechanics. For a particular recovery rule that we consider as an example, we compute lower and upper bounds on the topological entropy of the system (the case of zero temperature). We also show that at low positive temperature, typical configurations are local perturbations of the ground states. For the case of high temperature, we show uniqueness of the Gibbs measure and find the mixing rate of Glauber dynamics for the system in a finite domain.