The Spectral Dimension of 2D Quantum Gravity
  We show that the spectral dimension d_s of two-dimensional quantum gravity coupled to Gaussian fields is two for all values of the central charge c <= 1. The same arguments provide a simple proof of the known result d_s= 4/3 for branched polymers. 
J. Ambjorn, D. Boulatov, J.L. Nielsen, J. Rolf and Y. Watabiki