Invariant measure selection by noise. An example
| dc.contributor.author | Mattingly, Jonathan C | |
| dc.contributor.author | Pardoux, Etienne | |
| dc.date.accessioned | 2015-03-20T17:40:15Z | |
| dc.date.issued | 2014-01-01 | |
| dc.description.abstract | We consider a deterministic system with two conserved quantities and infinity many invariant measures. However the systems possess a unique invariant measure when enough stochastic forcing and balancing dissipation are added. We then show that as the forcing and dissipation are removed a unique limit of the deterministic system is selected. The exact structure of the limiting measure depends on the specifics of the stochastic forcing. | |
| dc.identifier.eissn | 1553-5231 | |
| dc.identifier.issn | 1078-0947 | |
| dc.identifier.uri | ||
| dc.publisher | American Institute of Mathematical Sciences (AIMS) | |
| dc.relation.ispartof | Discrete and Continuous Dynamical Systems- Series A | |
| dc.relation.isversionof | 10.3934/dcds.2014.34.4223 | |
| dc.title | Invariant measure selection by noise. An example | |
| dc.type | Journal article | |
| duke.contributor.orcid | Mattingly, Jonathan C|0000-0002-1819-729X | |
| pubs.begin-page | 4223 | |
| pubs.end-page | 4257 | |
| pubs.issue | 10 | |
| pubs.organisational-group | Duke | |
| pubs.organisational-group | Mathematics | |
| pubs.organisational-group | Statistical Science | |
| pubs.organisational-group | Trinity College of Arts & Sciences | |
| pubs.publication-status | Published | |
| pubs.volume | 34 |