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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2009.13607 |
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| _version_ | 1866914690109538304 |
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| author | Marshall-Maldonado, Juan |
| author_facet | Marshall-Maldonado, Juan |
| contents | We study the spectrum of the self-similar suspension flows of sub-shifts arising from primitive substitutions. We focus on the case where the substitution matrix has a Salem number α as dominant eigenvalue. We obtain a Hölder exponent for the spectral measures for points away from zero and belonging to the field Q(α). This exponent depends only on three parameters of each of these points: its absolute value, the absolute value of its real conjugate and its denominator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_13607 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Modulus of continuity for spectral measures of suspension flows over Salem type substitutions Marshall-Maldonado, Juan Dynamical Systems We study the spectrum of the self-similar suspension flows of sub-shifts arising from primitive substitutions. We focus on the case where the substitution matrix has a Salem number α as dominant eigenvalue. We obtain a Hölder exponent for the spectral measures for points away from zero and belonging to the field Q(α). This exponent depends only on three parameters of each of these points: its absolute value, the absolute value of its real conjugate and its denominator. |
| title | Modulus of continuity for spectral measures of suspension flows over Salem type substitutions |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2009.13607 |