Emanuel Milman

collaborators

3 papers

math.DG2025

On the connectedness of a minimizing cluster's boundary

Emanuel Milman, Joe Neeman

We verify that an isoperimetric minimizing cluster on a simply connected homogeneous Riemannian manifold with at most one end always has connected boundary. In particular, the boun…

math.DG2025

Standard bubbles (and other Möbius-flat partitions) on model spaces are stable

Emanuel Milman, Botong Xu

We verify that for all $n \geq 3$ and $2 \leq k \leq n + 1$ , the standard $k$ -bubble clusters, conjectured to be minimizing total perimeter in $R^{n}$ , $S^{n}$ and $\ma…

math.FA2025

Gaussian Correlation via Inverse Brascamp-Lieb

Emanuel Milman

We give a simple alternative proof of Royen's Gaussian Correlation inequality by using (a slightly generalized version of) Nakamura-Tsuji's symmetric inverse Brascamp-Lieb inequali…