# Journal article

## Stationary distributions of the multi-type ASEP

Abstract:

We give a recursive construction of the stationary distribution of multi-type asymmetric simple exclusion processes on a finite ring or on the infinite line Z. The construction can be interpreted in terms of “multi-line diagrams” or systems of queues in tandem. Let q be the asymmetry parameter of the system. The queueing construction generalises the one previously known for the totally asymmetric (q=0) case, by introducing queues in which each potential service is unused with probability qk w...

Publication status:
Published
Peer review status:
Peer reviewed

### Access Document

Files:
• (Version of record, 660.8KB)
Publisher copy:
10.1214/20-EJP421

### Authors

More by this author
Division:
MPLS
Department:
Statistics
Sub department:
Statistics
Oxford college:
St Cross College
Role:
Author
ORCID:
0000-0002-5103-5014
Publisher:
Institute of Mathematical Statistics and the Bernoulli Society Publisher's website
Journal:
Electronic Journal of Probability Journal website
Volume:
25
Article number:
43
Publication date:
2020-04-03
Acceptance date:
2020-01-25
DOI:
EISSN:
1083-6489
Language:
English
Keywords:
Pubs id:
1091726
Local pid:
pubs:1091726
Deposit date:
2020-03-08