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 |