| dc.contributor.author | Dyatlov, Semyon | |
| dc.date.accessioned | 2021-10-27T20:35:17Z | |
| dc.date.available | 2021-10-27T20:35:17Z | |
| dc.date.issued | 2019 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/136419 | |
| dc.description.abstract | © 2019 Author(s). Fractal uncertainty principle states that no function can be localized in both position and frequency near a fractal set. This article provides a review of recent developments on the fractal uncertainty principle and of their applications to quantum chaos, including lower bounds on mass of eigenfunctions on negatively curved surfaces and spectral gaps on convex cocompact hyperbolic surfaces. | |
| dc.language.iso | en | |
| dc.publisher | AIP Publishing | |
| dc.relation.isversionof | 10.1063/1.5094903 | |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
| dc.source | arXiv | |
| dc.title | An introduction to fractal uncertainty principle | |
| dc.type | Article | |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| dc.relation.journal | Journal of Mathematical Physics | |
| dc.eprint.version | Author's final manuscript | |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | |
| dc.date.updated | 2021-05-19T15:38:45Z | |
| dspace.orderedauthors | Dyatlov, S | |
| dspace.date.submission | 2021-05-19T15:38:47Z | |
| mit.journal.volume | 60 | |
| mit.journal.issue | 8 | |
| mit.license | OPEN_ACCESS_POLICY | |
| mit.metadata.status | Authority Work and Publication Information Needed | |
