One-Dimensional Ergodic Schrodinger Operators

II. Specific Classes
Integrating dynamical systems, topology, and analysis, this work examines one-dimensional ergodic operators that capture phenomena in crystals, disordered media, and quasicrystals. Highlighting random and almost-periodic cases, it offers a self-contained introduction for aspiring researchers and grad students.
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.

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