11 citations · 27 across the 5 of their papers we have counts for
5 papers
An analog of the Furstenberg-Katznelson-Weiss theorem on triangles in sets of positive density in finite field geometries
David Covert, Derrick Hart, Alex Iosevich +1
We prove that if the cardinality of a subset of the 2-dimensional vector space over a finite field with elements is , with , then it cont…
Distance graphs in vector spaces over finite fields, coloring and pseudo-randomness
Derrick Hart, Alex Iosevich, Doowon Koh +2
In this paper we systematically study various properties of the distance graph in , the -dimensional vector space over the finite field with eleme…
Quasiconformal mappings and singularity of boundary distortion
Tomi Nieminen, Ignacio Uriarte-Tuero
We extend a well-known theorem by Jones and Makarov [JM] on the singularity of boundary distortion of planar conformal mappings. We use a different technique to recover the previou…
Sharp nonremovability examples for Hölder continuous quasiregular mappings in the plane
Albert Clop, Ignacio Uriarte-Tuero
Let , , and . Given a compact set $E\subset\C$, it is known that if $\H^d(E)=0$ then is removable for -Hölder continuous -quasire…
Theory of dimension for large discrete sets and applications
Alex Iosevich, Misha Rudnev, Ignacio Uriarte-Tuero
We define two notions of discrete dimension based on the Minkowski and Hausdorff dimensions in the continuous setting. After proving some basic results illustrating these definitio…