69 citations · 92 across the 8 of their papers we have counts for
8 papers
Lattice Point Generating Functions and Symmetric Cones
Matthias Beck, Thomas Bliem, Benjamin Braun +1
We show that a recent identity of Beck-Gessel-Lee-Savage on the generating function of symmetrically contrained compositions of integers generalizes naturally to a family of convex…
The number of flags in finite vector spaces: Asymptotic normality and Mahonian statistics
Thomas Bliem, Stavros Kousidis
We study the generalized Galois numbers which count flags of length r in N-dimensional vector spaces over finite fields. We prove that the coefficients of those polynomials are asy…
On the law of large numbers for Demazure modules of sl2hat
Thomas Bliem, Stavros Kousidis
We determine the covariance of the weight distribution in level 1 Demazure modules of sl2hat. This allows us to prove a weak law of large numbers for these weight distributions, an…
Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann polytopes as marked poset polytopes
Federico Ardila, Thomas Bliem, Dido Salazar
Stanley (1986) showed how a finite partially ordered set gives rise to two polytopes, called the order polytope and chain polytope, which have the same Ehrhart polynomial despite b…
Expected degree of weights in Demazure modules of
Thomas Bliem, Stavros Kousidis
We compute the expected degree of a randomly chosen element in a basis of weight vectors in the Demazure module of . We obtain en passant a new proof of Sander…
Towards computing vector partition functions by iterated partial fraction decomposition
Thomas Bliem
We investigate the possibilities to calculate vector partition functions by means of iterated partial fraction decomposition, as suggested by Beck (2004). Particularly, for an impo…
Chopped and sliced cones and representations of Kac-Moody algebras
Thomas Bliem
We introduce the notion of a chopped and sliced cone in combinatorial geometry and prove two structure theorems for the number of integral points in the individual slices of such a…
Weight multiplicities for so5(C)
Thomas Bliem
We explicitly determine quasi-polynomials describing the weight multiplicities of the Lie algebra so5(C). This information entails immediate complete knowledge of the character of…