11 citations · 20 across the 8 of their papers we have counts for
8 papers
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…
Equality of Dedekind sums mod
Emmanuel Tsukerman
Using a generalization due to Lerch [M. Lerch, Sur un théorème de Zolotarev. Bull. Intern. de l'Acad. François Joseph 3 (1896), 34-37] of a classical lemma of Zolotarev, employed i…
Remarks on the the circumcenter of mass
S. Tabachnikov, E. Tsukerman
Suppose that to every non-degenerate simplex Delta in n-dimensional Euclidean space a `center' C(Delta) is assigned so that the following assumptions hold: (i) The map that assigns…
Equality of Dedekind sums mod and
Emmanuel Tsukerman
In [Girstmair, A criterion for the equality of Dedekind sums mod , Internat. J. Number Theory 10: (2014) 565--568], it was shown that the necessary condition $b \mid (a…