2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/225095We give a physicist's derivation of the geometrical (in the spirit of Duplantier-Sheffield) KPZ relations, via heat kernel methods. It gives a covariant way to define neighborhoods of fractals in 2d quantum gravity, and shows that these relations are in the realm of conformal field theory.Mathematical PhysicsStatistical MechanicsHigh Energy Physics - Theorytext