Large deviation asymptotics for continued fraction expansions

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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.
15 pages

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Number Theory, Dynamical Systems, 11K50; 60F10, 37A40

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http://salesiana.dossiersoluciones.com/handle/123456789/157092

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702381
 http://arxiv.org/abs/math/0702381
 Stochastics and Dynamics 8, no. 1, 103-113, 2008.
 doi:10.1142/S0219493708002226

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arXiv