Geometrical Interpretation of the KPZ Exponents
  We provide evidence that the KPZ exponents in two-dimensional quantum gravity can be interpreted as scaling exponents of correlation functions which are functions of the invariant geodesic distance between the fields. 
J. Ambjorn (Niels Bohr), K. N. Anagnostopoulos (Niels Bohr), U. Magnea   (Nordita) and G. Thorleifsson (Syracuse U.)