Large deviation asymptotics for continued fraction expansions

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dc.creatorKesseböhmer, Marc
dc.creatorSlassi, Mehdi
dc.date2007-02-13
dc.date.accessioned2026-07-07T09:27:24Z
dc.date.available2026-07-07T09:27:24Z
dc.descriptionWe 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.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0702381
dc.identifierhttp://arxiv.org/abs/math/0702381
dc.identifierStochastics and Dynamics 8, no. 1, 103-113, 2008.
dc.identifierdoi:10.1142/S0219493708002226
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157092
dc.subjectNumber Theory
dc.subjectDynamical Systems
dc.subject11K50; 60F10, 37A40
dc.titleLarge deviation asymptotics for continued fraction expansions
dc.typetext

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