Laura Venieri

activity

20142018

most citedA Marstrand-type restricted projection theorem in

R^{3}

10 citations · 19 across the 6 of their papers we have counts for

collaborators

7 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★ 4 cited

Improved bounds for restricted families of projections to planes in $R^{3}$

Tuomas Orponen, Laura Venieri

For $e \in S^{2}$ , the unit sphere in $R^{3}$ , let $π_{e}$ be the orthogonal projection to $e^{⊥} \subset R^{3}$ , and let $W \subset R^{3}$ be any $2$ -…

math.CA2017★ 10 cited

A Marstrand-type restricted projection theorem in $R^{3}$

Antti Käenmäki, Tuomas Orponen, Laura Venieri

Marstrand's projection theorem from $1954$ states that if $K \subset R^{3}$ is an analytic set, then, for $H^{2}$ almost every $e \in S^{2}$ , the orthogonal proj…

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…

math.MG2014★ 3 cited

Heisenberg Hausdorff dimension of Besicovitch sets

Laura Venieri

We consider (bounded) Besicovitch sets in the Heisenberg group and prove that $L^{p}$ estimates for the Kakeya maximal function imply lower bounds for their Heisenberg Hausdorff dime…

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

A note on expansion in prime fields

Improved bounds for restricted families of projections to planes in R3

A Marstrand-type restricted projection theorem in R3

A comparison of Euclidean and Heisenberg Hausdorff measures

Dimension estimates for Kakeya sets defined in an axiomatic setting

Heisenberg Hausdorff dimension of Besicovitch sets

Improved bounds for restricted families of projections to planes in $R^{3}$

A Marstrand-type restricted projection theorem in $R^{3}$