2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174601We use the inverse pressure concept to estimate the stable dimension for hyperbolic non-invertible maps which are conformal in the stable fibers. The non-invertible case is different than the diffeomorphism case. In particular we show that if the map is open on the respective basic set, then the stable dimension is constant everywhere. We prove also in this setting the Lipschitz continuity of the stable distribution.24 pagesDynamical SystemsComplex Variables37D20, 37A35, 37F35text