9 citations · 11 across the 5 of their papers we have counts for
6 papers
Matroidal Mixed Eulerian Numbers
Eric Katz, Max Kutler
We make a systematic study of matroidal mixed Eulerian numbers which are certain intersection numbers in the matroid Chow ring generalizing the mixed Eulerian numbers introduced by…
The motivic zeta functions of a matroid
David Jensen, Max Kutler, Jeremy Usatine
We introduce motivic zeta functions for matroids. These zeta functions are defined as sums over the lattice points of Bergman fans, and in the realizable case, they coincide with t…
Motivic zeta functions of hyperplane arrangements
Max Kutler, Jeremy Usatine
For each central essential hyperplane arrangement over an algebraically closed field, let denote the Denef-Loeser motivic zeta function of…
Hyperplane arrangements and mixed Hodge numbers of the Milnor fiber
Max Kutler, Jeremy Usatine
For each complex central essential hyperplane arrangement , let denote its Milnor fiber. We use Tevelev's theory of tropical compactifications to stu…
Faithful tropicalization of hypertoric varieties
Max B. Kutler
The hypertoric variety defined by an affine arrangement admits a natural tropicalization, induced by its embedding in a Lawrence toric va…
Self-intersections of Two-Dimensional Equilateral Random Walks and Polygons
Max B. Kutler, Margaret Rogers, Nicholas Pippenger
We study the mean and variance of the number of self-intersections of the equilateral isotropic random walk in the plane, as well as the corresponding quantities for isotropic equi…