Simon Baker

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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 \[ Î¼_Ï= \mathop{\circledast}_{k=1}^{\infty} \left( \frac{Î´_0 + Î´_{Î…

math.DS2025

On finitely many base $q$ expansions

Simon Baker, George Bender

Given some integer $m \geq 3$ , we find the first explicit collection of countably many intervals in $(1, 2)$ such that for any $q$ in one of these intervals, the set of points with…

math.DS2024

Fourier Decay from $L^{2}$ -Flattening

Simon Baker, Osama Khalil, Tuomas Sahlsten

We develop a unified approach for establishing rates of decay for the Fourier transform of a wide class of dynamically defined measures. Among the key features of the method is the…

On the Fourier transform of random Bernoulli convolutions

On finitely many base q expansions

Fourier Decay from L2-Flattening

On finitely many base $q$ expansions

Fourier Decay from $L^{2}$ -Flattening