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VOLUME 54 (1991) | ISSUE 1 | PAGE 52
Gaussian manifolds in random media
A unifying picture of scaling properties of Z)-dimensional Gaussian manifolds embedded in i/-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<2andO<D<2d/(4 + d), respectively.