| dc.contributor.author | Beckus, Siegfried | |
| dc.contributor.author | Bellissard, Jean | |
| dc.contributor.author | Thomas, Yannik | |
| dc.date.accessioned | 2025-04-08T12:12:39Z | |
| dc.date.available | 2025-04-08T12:12:39Z | |
| dc.date.issued | 2025-04 | |
| dc.identifier.uri | http://publications.mfo.de/handle/mfo/4241 | |
| dc.description | Acknowledgment. S.B. and Y.T. are grateful to Ram Band for various interesting discussions on the Kohmoto butterfly and its presentation in this work. S.B. and Y.T. are thankful to Lior Tenenbaum for inspiring discussions on the Lebesgue measure of approximations and for pointing out flaws and typos in an earlier versions. In addition, S.B. would like to thank Daniel Lenz for an interesting discussion on Sturmian systems and their factorization through the torus.
This research was supported through the program “Research in Pairs” by the Mathematisches Forschungsinstitut Oberwolfach in 2018 hosting S.B. and J.B.. This work was supported by the Deutsche Forschungsgemeinschaft [BE 6789/1-1 to S.B.]. | en_US |
| dc.description.abstract | We study the Kohmoto model including Sturmian Hamiltonians and the associated Kohmoto butterfly. We prove spectral estimates for the operators using Farey numbers. In addition, we determine the impurities at rational rotations leading to the spectral defects in the Kohmoto butterfly. Our results are similar to the ones obtained for the Almost-Mathieu operator and the associated Hofstadter butterfly. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Mathematisches Forschungsinstitut Oberwolfach | en_US |
| dc.relation.ispartofseries | Oberwolfach Preprints;2025-05 | |
| dc.title | Spectral Regularity and Defects for the Kohmoto Model | en_US |
| dc.type | Preprint | en_US |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | de |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | en |
| dc.identifier.doi | 10.14760/OWP-2025-05 | |
| local.scientificprogram | Research in Pairs 2018 | en_US |
| local.series.id | OWP-2025-05 | en_US |
