2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59543In this review paper, we first discuss some open problems related to two-dimensional self-avoiding paths and critical percolation. We then review some closely related results (joint work with Greg Lawler and Oded Schramm) on critical exponents for two-dimensional simple random walks, Brownian motions and other conformally invariant random objects.review paper (congress proceedings), 18 pages, 2 figuresProbability60J65, 82B43, 82B27text