Localization and Cantor Spectrum for Quasiperiodic Discrete Schrodinger Operators with Asymmetric, Smooth, Cosine-like Sampling Functions

Yakir Forman, Tom VandenBoom (Autoren)

Buch | Softcover

86 Seiten

2025
American Mathematical Society (Verlag)
9781470475819 (ISBN)

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A series featuring extended research in pure and applied mathematics, showcasing groups of related papers compiled into book form. Directed by an editorial committee associated with the AMS Transactions, each submission undergoes rigorous peer review to deliver high-level mathematical inquiry for an engaged academic audience.

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Yakir Forman, Yale University, New Haven, Connecticut. Tom VandenBoom, Yale University, New Haven, Connecticut.

1. Introduction and main results
2. Simple resonance
3. Double resonance
4. Resonance via inverse functions
5. Multiscale spectral analysis
6. Localization and cantor spectrum
A. Bootstrapped Green's function decay
B. Proofs of preliminaries

Erscheinungsdatum	25.09.2025
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-13	9781470475819 / 9781470475819
Zustand	Neuware