17 citations · 51 across the 22 of their papers we have counts for
6 papers · 1 filter
Tropical Spectral Theory of Tensors
Emmanuel Tsukerman
We introduce and study tropical eigenpairs of tensors, a generalization of the tropical spectral theory of matrices. We show the existence and uniqueness of an eigenvalue. We assoc…
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…
Determining the maximum difference between the number of atoms and number of coatoms of a Bruhat interval of the symmetric group
Emmanuel Tsukerman
We determine the largest difference between the number of atoms and number of coatoms of a Bruhat interval of .
Bruhat Interval Polytopes
Emmanuel Tsukerman, Lauren Williams
Let u and v be permutations on n letters, with u <= v in Bruhat order. A Bruhat interval polytope Q_{u,v} is the convex hull of all permutation vectors z = (z(1), z(2),...,z(n)) wi…
The -adic Order of Power Sums, the Erdös-Moser Equation, and Bernoulli Numbers
Jonathan Sondow, Emmanuel Tsukerman
The Erdös-Moser equation is a Diophantine equation proposed more than 60 years ago which remains unresolved to this day. In this paper, we consider the problem in terms of divisibi…