Mathematics – Number Theory
Scientific paper
2007-02-13
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.
Kesseböhmer Marc
Slassi Mehdi
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