4 papers
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…
Prescribed distinct-digit growth in countable alphabets
Ying Wai Lee
The number of distinct symbols appearing in digit expansions generated by full-branch affine countable iterated function systems is studied whose branch weights are regularly varyi…
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…
Explicit Upper Bounds on Decay Rates of Fourier Transforms of Self-similar Measures on Self-similar Sets
Ying Wai Lee
The study of Fourier transforms of probability measures on fractal sets plays an important role in recent research. Faster decay rates are known to yield enhanced results in areas…