17 citations · 51 across the 22 of their papers we have counts for
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Inverse Participation Ratios in the XX spin chain
Emmanuel Tsukerman
We continue the study of the Inverse Participation Ratios (IPRs) of the XXZ Heisenberg spin chain initiated by Misguich, Pasquier and Luck (2016) by focusing on the case of the XX…
A General Method to Determine Limiting Optimal Shapes for Edge-Isoperimetric Inequalities
Emmanuel Tsukerman, Ellen Veomett
For a general family of graphs on , we translate the edge-isoperimetric problem into a continuous isoperimetric problem in . We then solve the continuou…
Extension of the first mixed volume to nonconvex sets
Emmanuel Tsukerman
We study the first mixed volume for nonconvex sets and apply the results to limits of discrete isoperimetric problems. Let . Define $D_N (M)=\lim_{ε\down…
A Simple Proof of Cauchy's Surface Area Formula
Emmanuel Tsukerman, Ellen Veomett
We give a short and simple proof of Cauchy's surface area formula, which states that the average area of a projection of a convex body is equal to its surface area up to a multipli…