17 citations · 51 across the 22 of their papers we have counts for
7 papers · 1 filter
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…
Symmetric matrices, Catalan paths, and correlations
Bernd Sturmfels, Emmanuel Tsukerman, Lauren Williams
Kenyon and Pemantle (2014) gave a formula for the entries of a square matrix in terms of connected principal and almost-principal minors. Each entry is an explicit Laurent polynomi…
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…
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…
Monotonicity of the optimal perimeter in isoperimetric problems on
Emmanuel Tsukerman
We prove general theorems for isoperimetric problems on lattices of the form which state that the perimeter of the optimal set is a monot…
The Edge-Isoperimetric Problem in
Emmanuel Tsukerman
We consider the edge-isoperimetric problem on the graph of the infinite grid in the metric. We first show that the solutions are not nested, so tha…