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Mean square displacement of Brownian paths perturbed by bounded pair potentials
- Publication Year :
- 2023
-
Abstract
- 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 [Sellke; arXiv:2212.14023] in order to study the effective mass of the Fr\"ohlich polaron.<br />Comment: 17 pages
- Subjects :
- Mathematics - Probability
Mathematical Physics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2312.02709
- Document Type :
- Working Paper