|
ВИДЕОТЕКА |
Конференция «Hyperbolic Dynamics and Structural Stability», посвященная 85-летию Д. В. Аносова
|
|||
|
Quasiperiodic operators with monotone potentials I. Kachkovskii Michigan State University |
|||
Аннотация: The talk is based on joint works [KPS], [KKPS] with S. Krymskii, L. Parnovski, and R. Shterenberg. We consider quasiperiodic operators on $$ (H(x)\psi)_{\mathbf n}=(\Delta \psi)_{\mathbf n}+\varepsilon f(x+{\mathbf n}\cdot\omega)\psi_{\mathbf n}, $$ where [KPS] Kachkovskiy I., Parnovski L., Shterenberg R., Convergence of perturbation series for unbounded monotone quasiperiodic operators, https://arxiv.org/abs/2006.00346. [KKPS] Kachkovskiy I., Krymski S., Parnovski L., Shterenberg R., Perturbative diagonalisation for Maryland-type quasiperiodic operators with flat pieces, J. Math. Phys. 62 (2021), no. 6, 063509. Язык доклада: английский |