One-dimensional ergodic Schrödinger operators

• Verfasst von: Damanik, David [VerfasserIn]
• Verfasst von: Fillman, Jake [VerfasserIn]
• Titel: One-dimensional ergodic Schrödinger operators
• Titelzusatz: II. Specific classes
• Verf.angabe: David Damanik, Jake Fillman
• Verlagsort: Providence, Rhode Island
• Verlag: American Mathematical Society
• E-Jahr: 2024
• Jahr: [2024]
• Umfang: 1 Online-Ressource (xvi Seiten, Seite 445-1068)
• Illustrationen: Illustrationen
• Gesamttitel/Reihe: Graduate studies in mathematics Series ; 249
• Fussnoten: Description based on publisher supplied metadata and other sources
• ISBN: 978-1-4704-7925-1
• Datenträger: Online-Ressource
• Sprache: eng
• Bibliogr. Hinweis: Erscheint auch als : Druck-Ausgabe: Damanik, David, 1971 - : One-dimensional ergodic Schrödinger operators ; 2: Specific classes. - Providence, Rhode Island : American Mathematical Society, 2024. - xvi, Seite 445-1068
• K10plus-PPN: 1915033632
• K10plus-PPN:
  Universitätsbibliothek
• Lokale URL UB: Zum Volltext

Abstract

The theory of one-dimensional ergodic operators involves a beautiful synthesis of ideas from dynamical systems, topology, and analysis. Additionally, this setting includes many models of physical interest, including those operators that model crystals, disordered media, or quasicrystals. This field has seen substantial progress in recent decades, much of which has yet to be discussed in textbooks. The current volume addresses specific classes of operators, including the important examples of random and almost-periodic operators. The text serves as a self-contained introduction to the field for junior researchers and beginning graduate students, as well as a reference text for people already working in this area. The general theory of one-dimensional ergodic operators was presented in the book by the same authors as volume 221 in the Graduate Studies in Mathematics series.