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Towards abstract Wiener model spaces
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DOI：10.1007/s00440-026-01464-2.png)
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Abstract
En 中文
Wiener spaces are in many ways the decisive setting for fundamental results on Gaussian measures: large deviations (Schilder), quasi-invariance (Cameron-Martin), differential calculus (Malliavin), support description (Stroock-Varadhan), concentration of measure (Fernique), ...Analogues of these classical results have been derived in the enhanced context of Gaussian rough paths and, more recently, regularity structures equipped with Gaussian models. The aim of this article is to propose a similar notion directly on this enhanced level - an abstract Wiener model space - that encompasses the aforementioned. More specifically, we focus here on enhanced Schilder type results, Cameron-Martin shifts and Fernique estimates, offering a somewhat unified view on results of Friz-Victoir and Hairer-Weber.
Keywords:
Rough path theory
Regularity structures
Abstract Wiener spaces
Large deviations
Cameron-Martin theorem
Concentration of measure
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1.6
Papers:
61
Citations:
0
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