Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624713 | Advances in Applied Mathematics | 2014 | 23 Pages |
Abstract
We reinterpret and generalize conjectures of Lam and Williams as statements about the stationary distribution of a multispecies exclusion process on the ring. The central objects in our study are the multiline queues of Ferrari and Martin. We make some progress on some of the conjectures in different directions. First, we prove Lam and Williams' conjectures in two special cases by generalizing the rates of the Ferrari–Martin transitions. Secondly, we define a new process on multiline queues, which have a certain minimality property. This gives another proof for one of the special cases; namely arbitrary jump rates for three species.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Arvind Ayyer, Svante Linusson,