Work

Generic Points on the Staircase and Irregularities in Uniform Distribution

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.33590

Authors: Dolgopyat, Dmitry, Sarig, Omri

Institutions: Weizmann Institute of Science, University of Maryland, College Park

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: Limit Theorems in Dynamical Systems

OpenAlex ID: W7214730854

Cites: 5

Cited by:

Related to: 10