| dc.contributor.author | Bringmann, Bjoern | |
| dc.contributor.author | Lührmann, Jonas | |
| dc.contributor.author | Staffilani, Gigliola | |
| dc.date.accessioned | 2025-04-01T19:41:21Z | |
| dc.date.available | 2025-04-01T19:41:21Z | |
| dc.date.issued | 2024-02-23 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/159019 | |
| dc.description.abstract | We discuss the ( 1 + 1 ) -dimensional wave maps equation with values in a compact Riemannian manifold . Motivated by the Gibbs measure problem, we consider Brownian paths on the manifold as initial data. Our main theorem is the probabilistic local well-posedness of the associated initial value problem. The analysis in this setting combines analytic, geometric, and probabilistic methods. | en_US |
| dc.publisher | Springer Berlin Heidelberg | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s00220-023-04885-5 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-ShareAlike | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
| dc.source | Springer Berlin Heidelberg | en_US |
| dc.title | The Wave Maps Equation and Brownian Paths | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Communications in Mathematical Physics. 2024 Feb 23;405(3):60 | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.relation.journal | Communications in Mathematical Physics | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2025-03-27T13:46:21Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature | |
| dspace.embargo.terms | Y | |
| dspace.date.submission | 2025-03-27T13:46:21Z | |
| mit.journal.volume | 405 | en_US |
| mit.license | OPEN_ACCESS_POLICY | |
| mit.metadata.status | Authority Work and Publication Information Needed | en_US |
