2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/51558I review some aspects of non-critical strings in connection with Lorentz-Invariance violating approaches to quantum gravity. I also argue how non-critical strings may provide a unifying framework where string Cosmology and quantum gravity may be tackled together.25 pages LATEX, uses special macros, invited talk at Beyond the Desert 2002, Oulu (Finland), June 2-7 2002 minor typos corrected, references addedHigh Energy Physics - TheoryGeneral Relativity and Quantum CosmologyHigh Energy Physics - PhenomenologyQuantum Gravity, Cosmology, (Liouville) Strings and Lorentz Invariancetext