  In this paper, we study the characteristics of dominant interference power
with directional reception in a random network modelled by a Poisson Point
Process. Additionally, the Laplace functional of cumulative interference
excluding the $n$ dominant interferers is also derived, which turns out to be a
generalization of omni-directional reception and complete accumulative
interference. As an application of these results, we study the impact of
directional receivers in random networks in terms of outage probability and
error probability with queue length constraint.
