Benjamini-Schramm and spectral convergence II. The non-homogeneous case
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911965709860864 |
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| author | Deitmar, Anton |
| author_facet | Deitmar, Anton |
| contents | The equivalence of spectral convergence and Benjamini-Schramm convergence is extended from homogeneous spaces to spaces which are compact modulo isometry group. The equivalence is proven under the condition of a uniform discreteness property. It is open, which implications hold without this condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17264 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Benjamini-Schramm and spectral convergence II. The non-homogeneous case Deitmar, Anton Spectral Theory Algebraic Topology Number Theory The equivalence of spectral convergence and Benjamini-Schramm convergence is extended from homogeneous spaces to spaces which are compact modulo isometry group. The equivalence is proven under the condition of a uniform discreteness property. It is open, which implications hold without this condition. |
| title | Benjamini-Schramm and spectral convergence II. The non-homogeneous case |
| topic | Spectral Theory Algebraic Topology Number Theory |
| url | https://arxiv.org/abs/2407.17264 |