Tagged particles and size-biased dynamics in mean-field interacting particle systems
- We establish a connection between tagged particles and size-biased empirical processes in interacting particle systems, in analogy to classical results on the propagation of chaos. In a mean-field scaling limit, the evolution of the occupation number on the tagged particle site converges to a time-inhomogeneous Markov process with non-linear master equation given by the law of large numbers of size-biased empirical measures. The latter are important in recent efforts to understand the dynamics of condensation in interacting particle systems.
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| Author: | Stefan GrosskinskyORCiDGND, Angeliki Koutsimpela |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1198820 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/119882 |
| ISSN: | 1083-589XOPAC |
| Parent Title (English): | Electronic Communications in Probability |
| Publisher: | Institute of Mathematical Statistics |
| Place of publication: | Waite Hill, OH |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2025 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2025/03/10 |
| Volume: | 30 |
| First Page: | 16 |
| DOI: | https://doi.org/10.1214/25-ecp669 |
| 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) |
