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A dichotomy between uniform distributions of the Stern-Brocot and the Farey sequence
Uniform distribution (mod 1), Stern-Brocot sequence, Farey sequence,
2010/12/3
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. As a corollary we der...