On the Spectra of Sieved Schrödinger Operators
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915286514401280 |
|---|---|
| author | Fillman, Jake Luna, Alexandro |
| author_facet | Fillman, Jake Luna, Alexandro |
| contents | We give a family of examples of discrete Schrödinger operators whose spectral dimension is not invariant under sieving. The examples are produced from the Fibonacci Hamiltonian, which is one of the main models of a one-dimensional quasicrystal. We also give a family of examples in which the local Hausdorff dimension tends to zero in some parts of the spectrum as the sieving parameter is sent to infinity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_08763 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Spectra of Sieved Schrödinger Operators Fillman, Jake Luna, Alexandro Spectral Theory Dynamical Systems 35J10 We give a family of examples of discrete Schrödinger operators whose spectral dimension is not invariant under sieving. The examples are produced from the Fibonacci Hamiltonian, which is one of the main models of a one-dimensional quasicrystal. We also give a family of examples in which the local Hausdorff dimension tends to zero in some parts of the spectrum as the sieving parameter is sent to infinity. |
| title | On the Spectra of Sieved Schrödinger Operators |
| topic | Spectral Theory Dynamical Systems 35J10 |
| url | https://arxiv.org/abs/2505.08763 |