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In this work we discuss an approach due to F. David to the geometry of worldsheets of non-critical strings in quasiclassical approximation. Thegravitational dressed conformal dimension is related to the scaling behavior ofthe two-point function with respect to a distance variable. We show how thisapproach reproduces the standard gravitational dressing in the next order ofperturbation theory. With the same technique we calculate the intrinsicHausdorff dimension of a world sheet.Comment: 10 pages, TeX, no figure

GEOMETRICAL PROPERTIES OF CONFORMAL FIELD THEORIES COUPLED TO TWO-DIMENSIONAL QUANTUM GRAVITY