dc.contributor.author Cheng, Li-Juan dc.contributor.author Grong, Erlend dc.contributor.author Thalmaier, Anton dc.date.accessioned 2022-04-26T07:25:26Z dc.date.available 2022-04-26T07:25:26Z dc.date.created 2022-01-26T12:58:01Z dc.date.issued 2021 dc.identifier.issn 0362-546X dc.identifier.uri https://hdl.handle.net/11250/2992672 dc.description.abstract We consider the path space of a manifold with a measure induced by a stochastic flow with an infinitesimal generator that is hypoelliptic, but not elliptic. These generators can be seen as sub-Laplacians of a sub-Riemannian structure with a chosen complement. We introduce a concept of gradient for cylindrical functionals on path space in such a way that the gradient operators are closable in . With this structure in place, we show that a bound on horizontal Ricci curvature is equivalent to several inequalities for functions on path space, such as a gradient inequality, log-Sobolev inequality and Poincaré inequality. As a consequence, we also obtain a bound for the spectral gap of the Ornstein–Uhlenbeck operator. en_US dc.language.iso eng en_US dc.publisher Elsevier en_US dc.rights Navngivelse 4.0 Internasjonal * dc.rights.uri http://creativecommons.org/licenses/by/4.0/deed.no * dc.title Functional inequalities on path space of sub-Riemannian manifolds and applications en_US dc.type Journal article en_US dc.type Peer reviewed en_US dc.description.version publishedVersion en_US dc.rights.holder Copyright 2021 The Author(s) en_US dc.source.articlenumber 112387 en_US cristin.ispublished true cristin.fulltext original cristin.qualitycode 1 dc.identifier.doi 10.1016/j.na.2021.112387 dc.identifier.cristin 1990427 dc.source.journal Nonlinear Analysis en_US dc.identifier.citation Nonlinear Analysis. 2021, 210, 112387. en_US dc.source.volume 210 en_US
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