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math.NT2025
A quantitative framework for sets of exact approximation order by rational numbers
Simon Baker, Benjamin Ward
In this paper we study a quantitative notion of exactness within Diophantine approximation. Given and satisfying $\lim_{q\to\in…
math.DS2025
On the Fourier transform of random Bernoulli convolutions
Simon Baker, Henna Koivusalo, Sascha Troscheit +1
We investigate random Bernoulli convolutions, namely, probability measures given by the infinite convolution \[ μ_ω= \mathop{\circledast}_{k=1}^{\infty} \left( \frac{δ_0 + δ_{λ_1 λ…
math.DS2025
On finitely many base expansions
Simon Baker, George Bender
Given some integer , we find the first explicit collection of countably many intervals in such that for any in one of these intervals, the set of points with…