45 citations · 119 across the 21 of their papers we have counts for
5 papers · 1 filter
Improved bound for the -variate Elekes--Rónyai theorem
Yaara Jahn, Orit E. Raz
Let , for . For any finite sets , consider the set $$ f(A_1,\ldots, A_k):=\{f(a_1,\ldots, a_k)\mid (a_1…
Expansion of trivariate polynomials using proximity
Orit E. Raz
We extend the proximity technique of Solymosi and Zahl [J. Combin. Theory, Ser. A (2024)] to the setting of trivariate polynomials. In particular, we prove the following result: Le…
A note on the distinct distances problem over finite fields
Nataly Brukhim, Ariel Bruner, Orit E. Raz
We study a finite-field analogue of the Erdős distinct distances problem under the Hamming metric. For a set \(S\subseteq \mathbb{F}_q^n\) let denote the set of Hamming dist…
Erdős's unit distance problem and rigidity
János Pach, Orit E. Raz, József Solymosi
According to a classical result of Spencer, Szemerédi, and Trotter (1984), the maximum number of times the unit distance can occur among points in the plane is . Th…
On the -volume rigidity of a simplicial complex in
Alan Lew, Eran Nevo, Yuval Peled +1
We define a generic rigidity matroid for -volumes of a simplicial complex in , and prove that for it has the same rank as the classical generic…