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One-Dimensional Ergodic Schrodinger Operators

One-Dimensional Ergodic Schrodinger Operators : II. Specific Classes.

・ISBN 978-1-4704-6503-2 hard US$ 135.00

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お気に入り
著者・編者Damanik, David / Fillman, Jake,
シリーズGraduate Studies in Mathematics
出版社(American Mathematical Society, US)
出版年月2025
ページ数627 pp.
言語ENG
ニュース番号<M25-14397>

解説

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.