Second-order asymptotics for the Gaussian interference channel with strictly very strong interference

The second-order asymptotics of the Gaussian interference channel in the strictly very strong interference regime are considered. The rates of convergence to a given point on the boundary of the (first-order) capacity region are determined. These rates are expressed in terms of the average probability of error and variances of selected modified information densities which coincide with the dispersion of the (single-user) Gaussian channel. Interestingly, under the strictly very strong interference assumption, the intuition that receivers can decode messages from non-intended transmitters carries over to the second-order analysis.