7 citations · 19 across the 9 of their papers we have counts for
4 papers · 1 filter
Multiline queues with spectral parameters
Erik Aas, Darij Grinberg, Travis Scrimshaw
Using the description of multiline queues as functions on words, we introduce the notion of a spectral weight of a word by defining a new weighting on multiline queues. We show tha…
Continuous Multi-line Queues and TASEP
Erik Aas, Svante Linusson
In this paper, we study a distribution of labeled particles on a continuous ring. It arises in three different ways, all related to the multi-type TASEP on a ring. We prove formula…
TASEP in any Weyl Group
Erik Aas
We investigate a Markov chain defined by Thomas Lam, which generalizes the multi-type TASEP on a ring to any Weyl group. For groups of type C we define an analogue of the multiline…
The Double Eulerian Polynomial and Inversion Tables
Erik Aas
We show that the pair (des, ides) of statistics on the set of permu- tations has the same distribution as the pair (asc, row) of statistics on the set of inversion tables, proving…