collaborators

6 papers

math.CO2026

Lattices of flats for symplectic matroids

Or Raz

We are interested in expanding our understanding of symplectic matroids by exploring the properties of a class of symplectic matroids with a "lattice of flats". Taking a well-behav…

math.CO2025

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…

math.CO2025

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…

math.CO2025

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 di…

math.CO2025

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 . T…

math.CO2025

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…