46 citations · 413 across the 115 of their papers we have counts for
5 papers · 2 filters
Pinned geometric configurations in Euclidean space and Riemannian manifolds
Alex Iosevich, Krystal Taylor, Ignacio Uriarte-Tuero
Let be a compact -dimensional Riemannian manifold without a boundary. Given , let , where is the Riemannian metric on . Le…
An elementary approach to simplexes in thin subsets of Euclidean space
Allan Greenleaf, Alex Iosevich, Bochen Liu +1
We prove that if the Hausdorff dimension of , , is greater than then the -d…
Equilateral triangles in subsets of of large Hausdorff dimension
Alex Iosevich, Bochen Liu
We prove that subsets of , of large enough Hausdorff dimensions contain vertices of an equilateral triangle. It is known that additional hypotheses are needed…
Conjecture and improved extension theorems for paraboloids in the finite field setting
Doowon Koh
We study the extension estimates for paraboloids in d-dimensional vector spaces over finite fields F_q with q elements. We use the connection between L^2 based restriction estimate…
Wavelet decomposition and bandwidth of functions defined on vector spaces over finite fields
A. Iosevich, A. Liu, A. Mayeli +1
In this paper we study how zeros of the Fourier transform of a function are related to the structure of the function itself. In particular, we in…