Emanuel Milman

activity

20242026

most citedFixed and Periodic Points of the Intersection Body Operator

1 citations · 1 across the 9 of their papers we have counts for

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4 papers · 1 filter

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

Multi-Bubble Isoperimetric Problems

Emanuel Milman

We survey recent advancements in the characterization of multi-bubble isoperimetric minimizers and the stability of soap bubble partitions. We conclude with some related open probl…

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…