SCALING FUNCTIONS FOR BABY UNIVERSES IN 2-DIMENSIONAL QUANTUM-GRAVITY

We apply the recently proposed transfer matrix formalism to two-dimens ional quantum gravity coupled to (2,2k - 1) minimal models. We find th at the propagation of a parent universe in geodesic (euclidean) time i s accompanied by continual emission of baby universes and derive a dis tribution function describing their sizes. The k --> infinity (c --> - infinity) limit is generally thought to correspond to classical geomet ry, and we indeed find a classical peak in the universe distribution f unction. However, we also observe dramatic quantum effects associated with baby universes at finite length scales.