Mathematical Sciences Colloquium presents Dr. Roman Shterenberg

Friday, September 20, 2019 The event started -26 days ago

3:00 PM 4:00 PM

Shelby Center

Room 218

Dr. Roman Shterenberg
Department of Mathematics University of Alabama at Birmingham

"Convergence of Perturbation Series for Unbounded Monotone Quasi-periodic Operators"

Abstract:
We study Anderson localization for Schrodinger type operators with unbounded monotone quasi-periodic potentials. While our formal result can be considered as just a minor improvement compared with the known results obtained by popular KAM technique, we rather use more straightforward perturbation series construction to obtain explicit form for eigenvalues and eigenfunctions. To our surprise, the Rayleigh-Schrodinger series are directly convergent without the need of additional adjustments. This is the joint work with I. Kachkovski and L. Parnovski.


Details

Category
Conference/Lecture
department
College of Science, Department of Mathematical Sciences
Audience
Students, Faculty and Staff

Contact

Dr. Toka Diagana This email address is being protected from spambots. You need JavaScript enabled to view it.

Venue

Shelby Center

301 Sparkman DriveHuntsville, AL 35899

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