2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56893We study regularity properties of the Lyapunov exponent L of quasiperiodic operators with analytic potential, under no assumptions on the Diophantine class of the frequency. We prove that L is jointly continuous, in frequency and energy, at every irrational frequency.Mathematical PhysicsDynamical Systems81Q99; 37D25text