{"title":"Mean square displacement of Brownian paths perturbed by bounded pair potentials","authors":"Volker Betz, Tobias Schmidt, Mark Sellke","doi":"arxiv-2312.02709","DOIUrl":null,"url":null,"abstract":"We study Brownian paths perturbed by semibounded pair potentials and prove\nupper bounds on the mean square displacement. As a technical tool we derive\ninfinite dimensional versions of key inequalities that were first used in\n[Sellke; arXiv:2212.14023] in order to study the effective mass of the\nFr\\\"ohlich polaron.","PeriodicalId":501275,"journal":{"name":"arXiv - PHYS - Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2312.02709","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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.
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