PreprintCC BY 4.0arXiv
Generic Points on the Staircase and Irregularities in Uniform Distribution
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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BibTeX
@misc{dolgopyat2026generic,
title = {{Generic Points on the Staircase and Irregularities in Uniform Distribution}},
author = {Dmitry Dolgopyat and Omri Sarig},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.33590},
eprint = {2609.33590},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.33590},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Generic Points on the Staircase and Irregularities in Uniform Distribution
AU - Dmitry Dolgopyat
AU - Omri Sarig
PY - 2026
DA - 2026/09/27
PB - arXiv
DO - 10.48550/arxiv.2609.33590
UR - https://arxiv.org/abs/2609.33590
AB - 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.
ER -