7 citations · 19 across the 9 of their papers we have counts for
10 papers
Limiting directions for random walks in classical affine Weyl groups
Erik Aas, Arvind Ayyer, Svante Linusson +1
Let be a finite Weyl group and the corresponding affine Weyl group. A random element of can be obtained as a reduced random walk on the alcoves of…
The exact phase diagram for a semipermeable TASEP with nonlocal boundary jumps
Erik Aas, Arvind Ayyer, Svante Linusson +1
We consider a finite one-dimensional totally asymmetric simple exclusion process (TASEP) with four types of particles, , in contact with reservoirs. Particles of…
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…