Victor Reis

activity

20192026

most citedTight bounds on the Fourier growth of bounded functions on the hypercube

2 citations · 3 across the 16 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.CA2020

Balancing Polynomials in the Chebyshev Norm

Victor Reis

Given $n$ polynomials $p_{1}, \dots, p_{n}$ of degree at most $n$ with $∥ p_{i} ∥_{\infty} \leq 1$ for $i \in [n]$ , we show there exist signs $x_{1}, \dots, x_{n} \in {- 1, 1}$ so that \[\Big\|…

math.FA2020

An Elementary Exposition of Pisier's Inequality

Siddharth Iyer, Anup Rao, Victor Reis +2

Pisier's inequality is central in the study of normed spaces and has important applications in geometry. We provide an elementary proof of this inequality, which avoids some non-co…

cs.DS2020

Vector Balancing in Lebesgue Spaces

Victor Reis, Thomas Rothvoss

A tantalizing conjecture in discrete mathematics is the one of Komlós, suggesting that for any vectors $a_{1}, \dots, a_{n} \in B_{2}^{m}$ there exist signs $x_1, \dots, x…