Author

A. Yavicoli

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Preprint Aug 2026

Minkowski sums with convex curves without pointwise Fourier decay

Let $\Gamma\subset\mathbb R^2$ be a compact convex graph and define \[ T(\Gamma) = \inf \left\{ t: \dim_{\mathrm H}(E)>t \Longrightarrow |E+\Gamma|>0 \text{ for every compact }E\subset\mathbb R^2 \right\}. \] For a graph over an interval of positive length the smallest possible value is $T(\Gamma)=1$. We ask whether th...

A. Iosevich, Zhang Li, E. Palsson et al. · 0 citations

Preprint Sep 2026

The Erd\H{o}s similarity conjecture and Rajchman measures

Let $A\subseteq\mathbb{R}$ support a probability measure whose Fourier--Stieltjes transform tends to zero at infinity. We prove that, for every $\varepsilon\in(0,1)$, there is a closed, $1$-periodic, nowhere dense set $E\subseteq\mathbb{R}$ such that \[ m(E\cap I)\ge1-\varepsilon \] for every interval $I$ of length $1$...

A. Iosevich, N. Kulkarni, N. Cuéllar et al. · 0 citations