2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52106We review the recently developed relation between the traditional algebraic approach to conformal field theories and the more recent probabilistic approach based on stochastic Loewner evolutions. It is based on implementing random conformal maps in conformal field theories.14 pages, 3 figures, proceedings of the ICMP 2003 conference, LisbonHigh Energy Physics - TheoryStatistical MechanicsMathematical Physicstext