5 papers
Type multiline queues and the open-boundary TASEP
Olya Mandelshtam, Jerónimo Valencia-Porras
The totally asymmetric simple exclusion process (TASEP) with open boundaries is a finite Markov chain describing particles hopping between adjacent sites on a one-dimensional latti…
A combinatorial proof of an identity involving Eulerian numbers
Jerónimo Valencia-Porras
We give a combinatorial proof of an identity that involves Eulerian numbers and was obtained algebraically by Brenti and Welker (2009). To do so, we study alcoved triangulations of…
Macdonald polynomials at t = 0 through twisted multiline queues
Olya Mandelshtam, Jerónimo Valencia-Porras
Multiline queues are versatile combinatorial objects that play a key role in understanding the remarkable connection between the asymmetric simple exclusion process (ASEP) on a cir…
Order and Gorenstein properties for lattice path matroid polytopes
Carolina Benedetti, Kolja Knauer, Jerónimo Valencia-Porras
We characterize matroids whose polytopes are order polytopes as a special class of lattice path matroids, called snakes. This shows that snakes are exactly the objects lying in the…
Inequalities for -vectors of Lattice Polytopes
Matthias Beck, Danai Deligeorgaki, Max Hlavacek +1
The Ehrhart polynomial of a lattice polytope counts the number of integer points in the -th integral dilate of . The -vector of , introduced by…