Laura Venieri

most citedA note on expansion in prime fields

2 citations · 2 across the 2 of their papers we have counts for

collaborators

4 papers

math.CA2018

Geometric properties of extremal sets for the dimension comparison in Carnot groups of step 2

Laura Venieri

In Carnot groups of step 2 we consider sets having maximal or minimal possible homogeneous Hausdorff dimension compared to their Euclidean one: in the first case we prove that they…

math.CO2018★ 2 cited

A note on expansion in prime fields

Tuomas Orponen, Laura Venieri

Let $β, ε \in (0, 1]$ , and $k \geq exp (122 max {1/ β, 1/ ε})$ . We prove that if $A, B$ are subsets of a prime field $Z_{p}$ , and $∣ B ∣ \geq p^{β}$ , then there exists a sum of the…

math.CA2017

A comparison of Euclidean and Heisenberg Hausdorff measures

Pertti Mattila, Laura Venieri

We prove some geometric properties of sets in the first Heisenberg group whose Heisenberg Hausdorff dimension is the minimal or maximal possible in relation to their Euclidean one…

math.CA2017

Dimension estimates for Kakeya sets defined in an axiomatic setting

Laura Venieri

In this dissertation we define a generalization of Kakeya sets in certain metric spaces. Kakeya sets in Euclidean spaces are sets of zero Lebesgue measure containing a segment of l…