Mihalis Mourgoglou

activity

20102026

most citedRectifiability of harmonic measure

61 citations · 237 across the 33 of their papers we have counts for

collaborators

Showing 2011Show all

3 papers · 1 filter

math.CA2011

On the Mattila-Sjolin theorem for distance sets

Alex Iosevich, Mihalis Mourgoglou, Krystal Taylor

We extend a result, due to Mattila and Sjolin, which says that if the Hausdorff dimension of a compact set $E \subset R^{d}$ , $d \geq 2$ , is greater than $\frac{d + 1}{2}$ , then…

math.CA2011★ 10 cited

On angles determined by fractal subsets of the Euclidean space via Sobolev bounds for bi-linear operators

Alex Iosevich, Mihalis Mourgoglou, Eyvindur Palsson

We prove that if the Hausdorff dimension of a compact subset of $R^{d}$ is greater than $\frac{d + 1}{2}$ , then the set of angles determined by triples of points from this se…

math.CA2011

On volumes determined by subsets of Euclidean space

Allan Greenleaf, Alex Iosevich, Mihalis Mourgoglou

Given $E \subset R^{d}$ , define the \emph{volume set} of $E$ , $V (E) = {d e t (x^{1}, x^{2}, ... x^{d}) : x^{j} \in E}$ . In $R^{3}$ , we prove that $V (E)$ has positive…