46 citations · 413 across the 115 of their papers we have counts for
5 papers · 2 filters
Simplices in thin subsets of Euclidean spaces
Alex Iosevich, Akos Magyar
Let $\De$ be a non-degenerate simplex on vertices. We prove that there exists a threshold such that any set $A\subs \R^k$ of Hausdorff dimension necess…
On complete and incomplete exponential systems
Alex Iosevich, Azita Mayeli
Given a bounded domain with positive measure and a finite set , we say that the set ${\mathcal E}(A)={\{e^{2 πi x \cdot a^j}\}}_{a…
Falconer-type estimates for dot products
Alex Iosevich, Steven Senger
We present a family of sharpness examples for Falconer-type single dot product results. In particular, for for any we construct a Borel probability me…
An improved result for Falconer's distance set problem in even dimensions
Xiumin Du, Alex Iosevich, Yumeng Ou +2
We show that if compact set has Hausdorff dimension larger than , where is an even integer, then the distance set of …
On -point configuration sets with nonempty interior
Allan Greenleaf, Alex Iosevich, Krystal Taylor
We give conditions for -point configuration sets of thin sets to have nonempty interior, applicable to a wide variety of configurations. This is a continuation of our earlier wo…