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Birkhoff Measures, Birkhoff Sums, and Discrepancies

math.DS · 2025-11-27 · accept · novelty 6.0

The support length of Birkhoff measures for circle rotations is determined by the discrepancy, and the density approximates an isosceles trapezoid for continued-fraction denominators.

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  • Birkhoff Measures, Birkhoff Sums, and Discrepancies math.DS · 2025-11-27 · accept · none · ref 15

    The support length of Birkhoff measures for circle rotations is determined by the discrepancy, and the density approximates an isosceles trapezoid for continued-fraction denominators.