Couplings via Comparison Principle and Exponential Ergodicity of SPDEs in the Hypoelliptic Setting
dc.bibliographicCitation.firstPage | 1001 | eng |
dc.bibliographicCitation.issue | 3 | eng |
dc.bibliographicCitation.journalTitle | Communications in Mathematical Physics | eng |
dc.bibliographicCitation.lastPage | 1034 | eng |
dc.bibliographicCitation.volume | 379 | eng |
dc.contributor.author | Butkovsky, Oleg | |
dc.contributor.author | Scheutzow, Michael | |
dc.date.accessioned | 2021-10-21T13:07:02Z | |
dc.date.available | 2021-10-21T13:07:02Z | |
dc.date.issued | 2020 | |
dc.description.abstract | We develop a general framework for studying ergodicity of order-preserving Markov semigroups. We establish natural and in a certain sense optimal conditions for existence and uniqueness of the invariant measure and exponential convergence of transition probabilities of an order-preserving Markov process. As an application, we show exponential ergodicity and exponentially fast synchronization-by-noise of the stochastic reaction–diffusion equation in the hypoelliptic setting. This refines and complements corresponding results of Hairer and Mattingly (Electron J Probab 16:658–738, 2011). © 2020, The Author(s). | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/7085 | |
dc.identifier.uri | https://doi.org/10.34657/6132 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin ; Heidelberg : Springer | eng |
dc.relation.doi | https://doi.org/10.1007/s00220-020-03834-w | |
dc.relation.essn | 1432-0916 | |
dc.relation.issn | 0010-3616 | |
dc.rights.license | CC BY 4.0 Unported | eng |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | eng |
dc.subject.ddc | 530 | eng |
dc.subject.ddc | 510 | eng |
dc.subject.other | Comparison Principle | eng |
dc.subject.other | Exponential Ergodicity | eng |
dc.subject.other | SPDEs | eng |
dc.subject.other | Hypoelliptic Setting | eng |
dc.subject.other | Markov process | eng |
dc.title | Couplings via Comparison Principle and Exponential Ergodicity of SPDEs in the Hypoelliptic Setting | eng |
dc.type | Article | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Physik | eng |
wgl.type | Zeitschriftenartikel | eng |
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