Bo'az Klartag

most citedAffirmative Resolution of Bourgain's Slicing Problem using Guan's Bound

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.PR2025

Entropy and Learning of Lipschitz Functions under Log-Concave Measures

Pierre Bizeul, Boaz Klartag

We study regression of $1$ -Lipschitz functions under a log-concave measure $μ$ on $R^{d}$ . We focus on the high-dimensional regime where the sample size $n$ is subexponentia…

math.PR2025

Thin-shell bounds via parallel coupling

Boaz Klartag, Joseph Lehec

We prove that for any log-concave random vector $X$ in $R^{n}$ with mean zero and identity covariance, $E (∣ X ∣ - n)^{2} \leq C$ where $C > 0$ is a universa…

math.CA2025

Polynomial Approximation in $L^{2}$ of the Double Exponential via Complex Analysis

Pierre Bizeul, Boaz Klartag

We study the polynomial approximation problem in $L^{2} (μ_{1})$ where $μ_{1} (d x) = e^{- ∣ x ∣} /2 d x$ . We show that for any absolutely continuous function $f$ , $$ \sum_{k=1}^{\infty} \log^2(…

math.MG2024★ 1 cited

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound