Fractal Structure of Quantum Gravity in Two Dimensions

Recent numerical results on the fractal structure of two-dimensional quantum gravity coupled to $c=-2$ matter are reviewed. Analytic derivation of the fractal dimensions based on the Liouville theory and diffusion equation is also discussed. Excellent agreements between the numerical and theoretical results are obtained. Some problems on the non-universal nature of the fractal structure in the continuum limit are pointed out. ============================================================================ This is a review paper on \lq\lq Fractal Structure of Quantum Gravity in Two Dimension. Talk given at Nishinomiya-Yukawa Simposium, Nov. 1992. Figures are available from the author directly as hard copies.