Large deviation asymptotics for continued fraction expansions
classification
🧮 math.NT
math.DS
keywords
deviationlargecontinuedfractionasymptoticasymptoticsdigitsprocess
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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.
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