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

Showing 2020Show all

2 papers · 1 filter

math.CA2020★ 3 cited

The density of sets containing large similar copies of finite sets

Kenneth Falconer, Vjekoslav Kovač, Alexia Yavicoli

We prove that if $E \subseteq R^{d}$ ( $d \geq 2$ ) is a Lebesgue-measurable set with density larger than $\frac{n - 2}{n - 1}$ , then $E$ contains similar copies of every $n$ -point…

math.CA2020

An improved bound for the dimension of $(α, 2 α)$ -Furstenberg sets

Kornélia Héra, Pablo Shmerkin, Alexia Yavicoli

We show that given $α \in (0, 1)$ there is a constant $c = c (α) > 0$ such that any planar $(α, 2 α)$ -Furstenberg set has Hausdorff dimension at least $2 α + c$ . This improves several pre…

The density of sets containing large similar copies of finite sets

An improved bound for the dimension of (α,2α)-Furstenberg sets

An improved bound for the dimension of $(α, 2 α)$ -Furstenberg sets