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Eigenvalue Bounds on Convergence to Stationarity for Nonreversible Markov Chains, with an Application to the Exclusion Process
The work
| Authors | James Allen Fill |
|---|---|
| Editors | |
| Type | article |
| Year | 1991 |
| Citekey | fill1991eigenvalue |
Where it appeared
| Published in | The Annals of Applied Probability |
|---|---|
| Publisher | Institute of Mathematical Statistics |
| Volume | 1 |
| Issue | 1 |
| Pages | 62--87 |
Identifiers
| DOI | 10.1214/aoap/1177005981 |
|---|---|
| OpenAlex | W2069092471 |
Access
From OpenAlex, which stores abstracts as an index of words and their positions: what is shown is rebuilt from that, and reads fluently whether or not it is what the author wrote.
Abstract
We extend recently developed eigenvalue bounds on mixing rates for reversible Markov chains to nonreversible chains. We then apply our results to show that the \(d\)-particle simple exclusion process corresponding to clockwise walk on the discrete circle \(\mathbf{Z}_p\) is rapidly mixing when \(d\) grows with \(p\). The dense case $d = p/2$ arises in a Poisson blockers problem in statistical mechanics.
How it got here
| How it got here | agent via openalex |
|---|---|
| Added | 2026-10-27 09:23 UTC |
| Not denied by | a person 2026-10-29 17:12 UTC |
Cite it as
@article{fill1991eigenvalue,
title = {Eigenvalue Bounds on Convergence to Stationarity for Nonreversible Markov Chains, with an Application to the Exclusion Process},
author = {James Allen Fill},
year = {1991},
journal = {The Annals of Applied Probability},
publisher = {Institute of Mathematical Statistics},
volume = {1},
number = {1},
pages = {62--87},
doi = {10.1214/aoap/1177005981},
}
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