G. Paouris

activity

20062026

most citedRelative entropy of cone measures and

L_{p}

centroid bodies

141 citations · 238 across the 33 of their papers we have counts for

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3 papers · 1 filter

math.AG2019

A Faster Solution to Smale's 17th Problem I: Real Binomial Systems

Grigoris Paouris, Kaitlyn Phillipson, J. Maurice Rojas

Suppose $F := (f_{1}, \dots, f_{n})$ is a system of random $n$ -variate polynomials with $f_{i}$ having degree $\leq d_{i}$ and the coefficient of $x_{1}^{a_{1}} \dots x_{n}^{a_{n}}$ in $f_{i}$ being a…

math.AG2018

Smoothed Analysis for the Condition Number of Structured Real Polynomial Systems

Alperen A. Ergür, Grigoris Paouris, J. Maurice Rojas

We consider the sensitivity of real zeros of structured polynomial systems to perturbations of their coefficients. In particular, we provide explicit estimates for condition number…

math.AG2014★ 5 cited

Tropical Varieties for Exponential Sums

Alperen Ergür, Grigoris Paouris, J. Maurice Rojas

We study the complexity of approximating complex zero sets of certain $n$ -variate exponential sums. We show that the real part, $R$ , of such a zero set can be approximated by the $…