A. Ergur

activity

20182026

most citedOn the Number of Real Zeros of Random Fewnomials

9 citations · 13 across the 8 of their papers we have counts for

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Showing 2023 · math.AGShow all

2 papers · 2 filters

math.AG2023

On the Number of Real Zeros of Random Sparse Polynomial Systems

Alperen A. Ergür, Máté L. Telek, Josué Tonelli-Cueto

Consider a random system $f_{1} (x) = 0, \dots, f_{n} (x) = 0$ of $n$ random real polynomials in $n$ variables, where each $f_{k}$ has a prescribed set of expon…

math.AG2023

The Geometry of Rank Drop in a Class of Face-Splitting Matrix Products

Erin Connelly, Sameer Agarwal, Alperen Ergur +1

Given $k \leq 6$ points $(x_{i}, y_{i}) \in P^{2} \times P^{2}$ , we characterize rank deficiency of the $k \times 9$ matrix $Z_{k}$ with rows $x_{i}^{⊤} \otimes y_{i}^{⊤}$ in…