One-Dimensional Ergodic Schrödinger Operators (Graduate Studies in Mathematics, 221) - Softcover

David Damanik; Jake Fillman

Softcover

ISBN 10: 1470470861 ISBN 13: 9781470470869

Publisher: American Mathematical Society, 2022

Synopsis

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. Beginning with a refresher on key topics in spectral theory, this volume presents the basic theory of discrete one-dimensional Schrödinger operators with dynamically defined potentials. It also includes a self-contained introduction to the relevant aspects of ergodic theory and topological dynamics. This text is accessible to graduate students who have completed one-semester courses in measure theory and complex analysis. It is intended to serve as an introduction to the field for junior researchers and beginning graduate students as well as a reference text for people already working in this area. It is well suited for self-study and contains numerous exercises (many with hints).

About this title

About the Author

David Damanik, Rice University, Houston, TX, and Jake Fillman, Texas State University, San Marcos, TX

Edition details

• Publisher: American Mathematical Society
• Publication date: 2022
• Language: English
• ISBN 10: 1470470861
• ISBN 13: 9781470470869
• Binding: Paperback
• Number of pages: 444