The speed of the tagged particle in the exclusion process on Galton–Watson trees
- We study two different versions of the simple exclusion process on augmented Galton–Watson trees, the constant speed model and the variable speed model. In both cases, the simple exclusion process starts from an equilibrium distribution with non-vanishing particle density. Moreover, we assume to have initially a particle in the root, the tagged particle. We show for both models that the tagged particle has a positive linear speed and we give explicit formulas for the speeds.
| Author: | Nina Gantert, Dominik SchmidGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1231445 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/123144 |
| ISSN: | 1083-6489OPAC |
| Parent Title (English): | Electronic Journal of Probability |
| Publisher: | Institute of Mathematical Statistics |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2020 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2025/06/27 |
| Volume: | 25 |
| First Page: | 1 |
| Last Page: | 27 |
| DOI: | https://doi.org/10.1214/20-ejp477 |
| 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 |
