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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 \[ μ_ω= \mathop{\circledast}_{k=1}^{\infty} \left( \frac{δ_0 + δ_{λ_1 λ…
math.DS2023
Hausdorff dimension of the set of eventually always hitting points on a self-conformal set
Xintian Zhang
Recurrence problems are fundamental in dynamics, and for example, sizes of the set of points recurring infinitely often to a target have been studied extensively in many contexts.…