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 [15] in order to study the effective mass of the Fröhlich polaron.
Funding Statement
The authors were partially supported by the german research association (DFG) grant 535662048.
Acknowledgments
We would like to thank the anonymous referees for helpful feedback on the manuscript.
Citation
Volker Betz. Tobias Schmidt. Mark Sellke. "Mean square displacement of Brownian paths perturbed by bounded pair potentials." Electron. J. Probab. 30 1 - 17, 2025. https://doi.org/10.1214/24-EJP1263
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