5 papers
Ehrhart positivity for lattice path matroids
Luis Ferroni, Alejandro H. Morales, Greta Panova
We prove that all lattice path matroids are Ehrhart positive. This unifies and generalizes numerous results on the Ehrhart positivity of matroids developed over the last two decade…
Computation and sampling for Schubert specializations
David Anderson, Greta Panova, Leonid Petrov
We present computational results on principal specializations of Schubert polynomials, which count reduced pipe dreams and reduced bumpless pipe dreams (RBPD)…
Preservation of log-concavity on gamma polynomials
Luis Ferroni, Greta Panova, Lorenzo Venturello
Every symmetric polynomial with center of symmetry can be expressed as a linear combination in the basis . The -polynomial of , which we den…
Grothendieck Shenanigans: Permutons from pipe dreams via integrable probability
Alejandro H. Morales, Greta Panova, Leonid Petrov +1
We study random permutations arising from reduced pipe dreams. Our main model is motivated by Grothendieck polynomials with parameter arising in K-theory of the flag variety…
Skew shapes, Ehrhart positivity and beyond
Luis Ferroni, Alejandro H. Morales, Greta Panova
A classical result by Kreweras (1965) allows one to compute the number of plane partitions of a given skew shape and bounded parts as certain determinants. We prove that these dete…