Discontinuous observables as an obstruction for small essential spectral radius
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909643322687488 |
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| author | Butterley, Oliver Smania, Daniel |
| author_facet | Butterley, Oliver Smania, Daniel |
| contents | We show that for a very wide class of Banach spaces of functions on [0,1] there are intrinsic lower bounds for the essential spectral radius of the transfer operator associated to piecewise smooth expanding maps. The class of Banach spaces studied includes any reasonable space which permits discontinuities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_07613 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Discontinuous observables as an obstruction for small essential spectral radius Butterley, Oliver Smania, Daniel Dynamical Systems 37A05, 37A25, 37C30 We show that for a very wide class of Banach spaces of functions on [0,1] there are intrinsic lower bounds for the essential spectral radius of the transfer operator associated to piecewise smooth expanding maps. The class of Banach spaces studied includes any reasonable space which permits discontinuities. |
| title | Discontinuous observables as an obstruction for small essential spectral radius |
| topic | Dynamical Systems 37A05, 37A25, 37C30 |
| url | https://arxiv.org/abs/2506.07613 |