On the Novikov problem for dihedral symmetry potentials
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913832825257984 |
|---|---|
| author | Maltsev, A. Ya. |
| author_facet | Maltsev, A. Ya. |
| contents | We consider Novikov's problem of describing level lines of quasiperiodic functions on a plane for two-dimensional potentials of dihedral symmetry. It is shown that quasiperiodic potentials of this type can have open level lines only at a single energy level $\, ε= ε_{0} \, $, which brings them close to random potentials on a plane. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07657 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Novikov problem for dihedral symmetry potentials Maltsev, A. Ya. Mathematical Physics We consider Novikov's problem of describing level lines of quasiperiodic functions on a plane for two-dimensional potentials of dihedral symmetry. It is shown that quasiperiodic potentials of this type can have open level lines only at a single energy level $\, ε= ε_{0} \, $, which brings them close to random potentials on a plane. |
| title | On the Novikov problem for dihedral symmetry potentials |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2505.07657 |