On substitution automorphisms with pure singular spectrum
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866911749503975424 |
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| author | Bufetov, Alexander I. Solomyak, Boris |
| author_facet | Bufetov, Alexander I. Solomyak, Boris |
| contents | A sufficient condition for a substitution automorphism to have pure singular spectrum is given in terms of the top Lyapunov exponent of the associated spectral cocycle. As a corollary, singularity of the spectrum is established for an infinite family of self-similar interval exchange transformations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2003_11287 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On substitution automorphisms with pure singular spectrum Bufetov, Alexander I. Solomyak, Boris Dynamical Systems 37A30 (Primary), 37B10 A sufficient condition for a substitution automorphism to have pure singular spectrum is given in terms of the top Lyapunov exponent of the associated spectral cocycle. As a corollary, singularity of the spectrum is established for an infinite family of self-similar interval exchange transformations. |
| title | On substitution automorphisms with pure singular spectrum |
| topic | Dynamical Systems 37A30 (Primary), 37B10 |
| url | https://arxiv.org/abs/2003.11287 |