2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157092We study large deviation asymptotics for processes defined in terms of continued fraction digits. We use the continued fraction digit sum process to define a stopping time and derive a joint large deviation asymptotic for the upper and lower fluctuation process. Also a large deviation asymptotic for single digits is given.15 pagesNumber TheoryDynamical Systems11K50; 60F10, 37A40text