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math.NT2026
Quantitative longest-run laws for partial quotients
Ying Wai Lee
Two longest-run statistics are studied: the longest run of a fixed value and the longest run over all values. Under quantitative mixing and exponential cylinder estimates for const…
math.NT2025
Lüroth Expansions in Diophantine Approximation: Metric Properties and Conjectures
Ying Wai Lee
This paper focuses on the metric properties of Lüroth well approximable numbers, studying analogous of classical results, namely the Khintchine Theorem, the Jarník--Besicovitch The…
math.NT2024
Effective Results in The Metric Theory of Quantitative Diophantine Approximation
Ying Wai Lee, Andrew Scoones
Many results related to quantitative problems in the metric theory of Diophantine approximation are asymptotic, such as the number of rational solutions to certain inequalities gro…