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math.NT2010★ 5 cited
A dichotomy between uniform distributions of the Stern-Brocot and the Farey sequence
Marc Kesseböhmer, Bernd O. Stratmann
We employ infinite ergodic theory to show that the even Stern-Brocot sequence and the Farey sequence are uniformly distributed mod 1 with respect to certain canonical weightings. A…
math.NT2007★ 4 cited
Large deviation asymptotics for continued fraction expansions
Marc Kesseböhmer, Mehdi Slassi
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 deri…