GAUSSIAN MANIFOLDS IN RANDOM-MEDIA

A unifying picture of scaling properties of D-dimensional Gaussian manifolds embedded in d-dimensional random media is presented. It is demonstrated, in particular, that for the special case of uncorrelated disorder manifold is stretched for D > 2d/(4 + d). The phase transitions between different stretched states and from the Gaussian form to the stretched form are predicted for 2d/(2 + d) < D < 2 and 0 < D < 2d/(4 + d), respectively.