Gauge Transform Method in Spectral Theory of Almost-Periodic Operators
Lead Research Organisation:
University College London
Department Name: Mathematics
Abstract
Research areas: Mathematical Analysis, Mathematical Physics.
We plan to study various spectral properties of almost-periodic operators using the method of Gauge Transform (also known as the KAM method). In particular, it is planned to investigate the behaviour of the integrated density of states of multi-dimensional almost-periodic operators under small perturbations.
We plan to study various spectral properties of almost-periodic operators using the method of Gauge Transform (also known as the KAM method). In particular, it is planned to investigate the behaviour of the integrated density of states of multi-dimensional almost-periodic operators under small perturbations.
Organisations
People |
ORCID iD |
| Leonid Parnovski (Primary Supervisor) | |
| Peter Hearnshaw (Student) |
Studentship Projects
| Project Reference | Relationship | Related To | Start | End | Student Name |
|---|---|---|---|---|---|
| EP/N509577/1 | 01/10/2016 | 24/03/2022 | |||
| 2087363 | Studentship | EP/N509577/1 | 01/10/2018 | 30/09/2022 | Peter Hearnshaw |
| EP/R513143/1 | 01/10/2018 | 30/09/2023 | |||
| 2087363 | Studentship | EP/R513143/1 | 01/10/2018 | 30/09/2022 | Peter Hearnshaw |