A. Yavicoli

activity

20152026

most cited

L^{q}

dimensions and projections of random measures

11 citations · 20 across the 18 of their papers we have counts for

collaborators

24 papers

math.CA2026

Improved dimension bounds for Falconer's distance problem in the plane

Alex Iosevich, Alexia Yavicoli

Let $E \subset R^{2}$ be analytic with $t = dim_{H} E > 1$ . We prove $dim_{H} Δ E \geq 4/5 + η_{0}$ for an absolute, non-explicit constant $η_{0} > 0$ , and \[ \dim_{\mathrm H}…

math.PR2026

Point Configurations in Brownian Traces

P. Kosenko, J. M. Medina, A. Yavicoli

We study finite and countable point configurations in the trace of Brownian motion in $R^{d}$ , $d \geq 2$ . In the plane, the set of translations placing a prescribed finite co…

math.AP2026

The Erdős similarity conjecture and Rajchman measures

A. Iosevich, N. Kulkarni, N. Mora Cuéllar +2

Let $A \subseteq R$ support a probability measure whose Fourier--Stieltjes transform tends to zero at infinity. We prove that, for every $ε \in (0, 1)$ , there is a cl…

math.CA2026

Minkowski sums with convex curves without pointwise Fourier decay

Alex Iosevich, Zhangze Li, Eyvindur Palsson +2

Let $Γ \subset R^{2}$ be a compact convex graph and define \[ T(Γ) = \inf \left\{ t: \dim_{\mathrm H}(E)>t \Longrightarrow |E+Γ|>0 \text{ for every compact }E\subset\mathbb R^2…

math.CA2026

Arithmetic-progression gap sets in Cantor sets

Samantha Sandberg-Clark, Krystal Taylor, Alexia Yavicoli

We address the question of which common differences can arise in arithmetic progressions contained in fractal sets. For a compact set $C \subset R$ , we investigate not only w…

math.CA2026

The Erdős Similarity Conjecture for Two-Fold Sumsets with a Geometric Summand

N. Mora Cuellar, A. Iosevich, N. Kulkarni +2

We settle a major case in the two-set regime of the Erdős similarity conjecture: the sum of a geometric sequence and an arbitrary infinite set is never measure universal. Here a se…