LARGE DEVIATION ASYMPTOTICS FOR CONTINUED FRACTION EXPANSIONS
Marc Keßeböhmer, Mehdi Slassi · 2007
ABSTRACT. We 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. 1.