The corner points of the capacity region of the two-user Gaussian
interference channel under strong or weak interference are determined using the
notions of almost Gaussian random vectors, almost lossless addition of random
vectors, and almost linearly dependent random vectors. In particular, the
"missing" corner point problem is solved in a manner that differs from previous
works in that it avoids the use of integration over a continuum of SNR values
or of Monge-Kantorovitch transportation problems