O. Friedland

activity

20062026

most citedApproximating matrices and convex bodies through Kadison-Singer

16 citations · 29 across the 18 of their papers we have counts for

collaborators

25 papers

math.MG2026

The equality case in Godbersen's inequality and its generalizations

Omer Friedland, Eli Putterman, Maud Szusterman

Godbersen's long-standing conjecture states that the mixed volumes of any convex body $K \subset R^{n}$ satisfy $V (K [k], - K [n - k]) \leq (k n) vol (K)$ for a…

math.FA2026

On partition functions of Gaussian random variables

Omer Friedland, Olivier Guédon, Fabien Souli

For $β \in R$ , we define the partition function $Z_{β} (X) = i = 1 \sum N exp (β X_{i})$ of a centered Gaussian random vector $X = (X_{1}, \dots, X_{N})$ with $\mathbb{E}[X_i^2]=…

math.CA2026

Product-profile anti-concentration for block-structured multi-affine polynomials

Evgeny Abakumov, Omer Friedland, Yosef Yomdin

We establish product-profile anti-concentration, density, and Remez estimates for multi-affine polynomials on the cube. Let $X$ be uniformly distributed on $[0, 1]^{n}$ , and let $P:[0…

math.MG2026

On the Banach--Mazur radius of $ℓ_{\infty}^{n}$

Omer Friedland, Assaf Naor, Pierre Youssef

We prove that any $n$ -dimensional normed space is at Banach--Mazur distance $O (n^{2/3})$ from $ℓ_{\infty}^{n}$ .

math.CO2026

A Log-Free Lower Bound for the Number of Facets of $0/1$ -Polytopes

Omer Friedland

Let $g (n)$ denote the largest number of facets of a full-dimensional $0/1$ -polytope in $R^{n}$ . We prove that there are absolute constants $c > 0$ and $n_{0}$ such that $$ g(n)\ge (cn)^…

math.PR2026

A $5/8$ Lower Bound on the Banach--Mazur Distance to the Cross-Polytope

Omer Friedland

Let $δ > 0$ be fixed, let $m = ⌈(1 + δ) n ⌉$ , and let $Γ$ be an $n \times m$ matrix with independent standard Gaussian entries. For the Gaussian Gluskin polytope $G_m = Γ(B_1^m)…

The equality case in Godbersen's inequality and its generalizations

On partition functions of Gaussian random variables

Product-profile anti-concentration for block-structured multi-affine polynomials

On the Banach--Mazur radius of ℓ∞n​

A Log-Free Lower Bound for the Number of Facets of 0/1-Polytopes

A 5/8 Lower Bound on the Banach--Mazur Distance to the Cross-Polytope

On the Banach--Mazur radius of $ℓ_{\infty}^{n}$

A Log-Free Lower Bound for the Number of Facets of $0/1$ -Polytopes

A $5/8$ Lower Bound on the Banach--Mazur Distance to the Cross-Polytope