Approximating the stationary distribution of the ASEP with open boundaries
- We investigate the stationary distribution of asymmetric and weakly asymmetric simple exclusion processes with open boundaries. We project the stationary distribution onto a subinterval, whose size is allowed to grow with the length of the underlying segment. Depending on the boundary parameters of the exclusion process, we provide conditions such that the stationary distribution projected onto a subinterval is close in total variation distance to a product measure.
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| Author: | Evita Nestoridi, Dominik SchmidGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1230946 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/123094 |
| ISSN: | 0010-3616OPAC |
| ISSN: | 1432-0916OPAC |
| Parent Title (English): | Communications in Mathematical Physics |
| Publisher: | Springer Science and Business Media LLC |
| Place of publication: | Berlin |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2024 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2025/06/26 |
| Volume: | 405 |
| First Page: | 176 |
| DOI: | https://doi.org/10.1007/s00220-024-05033-3 |
| 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) |
