Spin-spin correlation functions of spin systems coupled to 2-d quantum   gravity for $0 < c < 1$
  We perform Monte Carlo simulations of 2-d dynamically triangulated surfaces coupled to Ising and three--states Potts model matter. By measuring spin-spin correlation functions as a function of the geodesic distance we provide substantial evidence for a diverging correlation length at $\beta_c$. The corresponding scaling exponents are directly related to the KPZ exponents of the matter fields as conjectured in [4] (NPB454(1995)313). 
J. Ambjorn (Niels Bohr), K. N. Anagnostopoulos (Niels Bohr), U. Magnea   (Nordita) and G. Thorleifsson (Syracuse U.)