658 citations · 1.2k across the 32 of their papers we have counts for
41 papers
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…
Plateau Bubbles and the Quintuple Bubble Theorem on
Emanuel Milman, Joe Neeman
Sullivan's multi-bubble isoperimetric conjectures in -dimensional Euclidean and spherical spaces assert that standard bubbles uniquely minimize total perimeter among all b…
Concentration Inequalities for Sums of Markov Dependent Random Matrices
Joe Neeman, Bobby Shi, Rachel Ward
We give Hoeffding and Bernstein-type concentration inequalities for the largest eigenvalue of sums of random matrices arising from a Markov chain. We consider time-dependent matrix…
Existence of a symmetric bipodal phase in the edge-triangle model
Joe Neeman, Charles Radin, Lorenzo Sadun
In the edge-triangle model with edge density close to 1/2 and triangle density below 1/8 we prove that the unique entropy-maximizing graphon is symmetric bipodal. We also prove tha…
The Structure of Isoperimetric Bubbles on and
Emanuel Milman, Joe Neeman
The multi-bubble isoperimetric conjecture in -dimensional Euclidean and spherical spaces from the 1990's asserts that standard bubbles uniquely minimize total perimeter among al…
Lipschitz changes of variables via heat flow
Joe Neeman
We extend Caffarelli's contraction theorem, by proving that there exists a Lipschitz changes of variables between the Gaussian measure and certain perturbations of it. Our approach…