Mean square displacement of Brownian paths perturbed by bounded pair potentials
We study Brownian paths perturbed by semibounded pair potentials and prove upper bounds on the mean square displacement. As a technical tool we derive infinite dimensional versions of key inequalities that were first used in [15] in order to study the effective mass of the Fröhlich polaron.
Authors
- Mark Sellke (ORCID: https://orcid.org/0000-0001-9166-8185)
- Volker Betz (ORCID: https://orcid.org/0000-0002-3538-7247)
- Tobias Schmidt (ORCID: https://orcid.org/0000-0002-5645-3143)
Institutions
- Harvard University Press (US)
- Technische Universität Darmstadt (DE)
Publication Details
- Journal
- Electronic Journal of Probability
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1214/24-ejp1263
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Deutsche Forschungsgemeinschaft