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Large deviation asymptotics for continued fraction expansions

Marc Kesseböhmer·Mehdi Slassi
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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.

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Marc Kesseböhmer, Mehdi Slassi. 2007-02-13. Large deviation asymptotics for continued fraction expansions. https://doi.org/10.1142/s0219493708002226

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