Counting rationals and diophantine approximation on fractals

Abstract: We discuss the problem of counting rationals on fractals, with applications to diophantine approximation. In the process, we develop the theory of the Fourier $\ell^1$ dimension including, for Bernoulli measures, its effective computation via induction on scales. Joint with Demi Allen, P´eter Varj´u and Han Yu.

number theory

Audience: researchers in the topic

Number theory by the sea

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