Large deviation asymptotics for continued fraction expansions

Details Large deviation asymptotics for continued fraction expansions Large deviation asymptotics for continued fraction expansions

2007-02-13

arxiv.org/abs/math/0702381v1

Stochastics and Dynamics 8, no. 1, 103-113, 2008.

Mathematics

Number Theory

15 pages

Scientific paper

10.1142/S0219493708002226

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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