B. Klartag

activity

20022026

most citedA Central Limit Theorem for Convex Sets

141 citations · 216 across the 44 of their papers we have counts for

collaborators

60 papers

math.PR2026

Poisson approximation of random lattices

Boaz Klartag

Fix a subset $S \subset R^{n}$ of volume at most $c n$ that satisfies $S \cap (- S) = \emptyset$ . We consider two point processes in $S$ : the first is the Poisson point proce…

math.MG2025★ 1 cited

Lattice packing of spheres in high dimensions using a stochastically evolving ellipsoid

Boaz Klartag

We prove that in any dimension $n$ there exists an origin-symmetric ellipsoid $E \subset R^{n}$ of volume $c n^{2}$ that contains no points of $Z^{n}$ …

math.FA2023★ 17 cited

Logarithmic bounds for isoperimetry and slices of convex sets

Bo'az Klartag

We prove that the Bourgain slicing conjecture and the Kannan-Lovász-Simonovits (KLS) isoperimetric conjecture in $R^{n}$ hold true up to a factor of $lo g n$ . A new i…

math.FA2023

Linear extension operators for Sobolev spaces on radially-symmetric binary trees

Charles Fefferman, Bo'az Klartag

Let $1 < p < \infty$ and suppose that we are given a function $f$ defined on the leaves of a weighted tree. We would like to extend $f$ to a function $F$ defined on the entire tree…

math.MG2022★ 2 cited

Horocyclic Brunn-Minkowski inequality

Rotem Assouline, Bo'az Klartag

Given two non-empty subsets $A$ and $B$ of the hyperbolic plane $H^{2}$ , we define their horocyclic Minkowski sum with parameter $λ = 1/2$ as the set $[A:B]_{1/2} \subseteq \m…

math.FA2022

A weak version of the $ε$ -Dvoretzky conjecture for normed spaces

Bo'az Klartag, Tomer Novikov

We prove a weak version of the $ε$ -Dvoretzky conjecture for normed spaces, showing the existence of a subspace of $R^{n}$ of dimension at least $c \log n / |\log \…