Mixing times for the simple exclusion process in ballistic random environment
- We consider the exclusion process on segments of the integers in a site-dependent random environment. We assume to be in the ballistic regime in which a single particle has positive linear speed. Our goal is to study the mixing time of the exclusion process when the number of particles is linear in the size of the segment. We investigate the order of the mixing time depending on the support of the environment distribution. In particular, we prove for nestling environments that the order of the mixing time is different than in the case of a single particle.
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| Author: | Dominik SchmidGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1231480 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/123148 |
| ISSN: | 1083-6489OPAC |
| Parent Title (English): | Electronic Journal of Probability |
| Publisher: | Institute of Mathematical Statistics |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2019 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2025/06/27 |
| Volume: | 24 |
| First Page: | 1 |
| Last Page: | 25 |
| DOI: | https://doi.org/10.1214/19-ejp286 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Stochastik und ihre Anwendungen | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand) |
