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arXiv · 2609.33590

Generic Points on the Staircase and Irregularities in Uniform Distribution

Dmitry Dolgopyat·Omri Sarig
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Abstract

We study the ergodic integrals for linear flows on the infinite staircase, a translation surface with infinite area, and deduce detailed information on the bias properties of local discrepancy functions for irrational numbers of bounded type.

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Dmitry Dolgopyat, Omri Sarig. 2026-09-27. Generic Points on the Staircase and Irregularities in Uniform Distribution. https://arxiv.org/abs/2609.33590

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