Limit theorems in the imitative monomer-dimer mean-field model via Stein's method (Q2820919)

Monomer-dimer models were initially proposed to investigate the properties of diatomic oxygen molecules deposited tungsten or the liquid mixtures of unequal sized molecules. The main contribution herein is to use Stein's method to get new results on these models. Firstly, one analyzes the fluctuation properties of the monomer density in the full parameter space, and secondly, one applies the Stein's method for exchangeable pairs to the statistical mechanics problem so obtained. The formulation of the Stein's method is displayed, and then one considers the moment computations away from and along with the critical line.