12 citations · 57 across the 19 of their papers we have counts for
19 papers
Long paths in the distance graph over large subsets of vector spaces over finite fields
M. Bennett, J. Chapman, D. Covert +3
Let , the -dimensional vector space over a finite field with elements. Construct a graph, called the distance graph of , by letting the vertices b…
Group actions and geometric combinatorics in
M. Bennett, D. Hart, A. Iosevich +2
In this paper we apply a group action approach to the study of Erd\H os-Falconer type problems in vector spaces over finite fields and use it to obtain non-trivial exponents for th…
A note on sumsets of subgroups in
Derrick Hart
Let be a multiplicative subgroup of . Define the -fold sumset of to be . We show that $6A\supseteq \mathbb Z…
Multi-parameter projection theorems with applications to sums-products and finite point configurations in the Euclidean setting
B. Erdoğan, D. Hart, A. Iosevich
In this paper we study multi-parameter projection theorems for fractal sets. With the help of these estimates, we recover results about the size of , where…
A Furstenberg-Katznelson-Weiss type theorem on (d + 1)-point configurations in sets of positive density in finite field geometries
David Covert, Derrick Hart, Alex Iosevich +2
We show that if , the -dimensional vector space over the finite field with elements, and , where , the…
Fourier analysis and expanding phenomena in finite fields
Derrick Hart, Liangpan Li, Chun-Yen Shen
In this paper the authors study set expansion in finite fields. Fourier analytic proofs are given for several results recently obtained by Solymosi, Vinh and Vu using spectral grap…