Large deviation asymptotics for continued fraction expansions
arXiv:math/0702381 · doi:10.1142/S0219493708002226
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.
15 pages