One-Dimensional Ergodic Schrodinger Operators
One-Dimensional Ergodic Schrodinger Operators
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Summary
Beginning with a refresher on key topics in spectral theory, this volume presents the basic theory of discrete one-dimensional Schrodinger operators with dynamically defined potentials. It also includes a self-contained introduction to the relevant aspects of ergodic theory and topological dynamics.
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One-Dimensional Ergodic Schrodinger Operators by David Damanik
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 Schrodinger 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).
David Damanik, Rice University, Houston, TX.
Jake Fillman, Texas State University, San Marcos, TX.
Jake Fillman, Texas State University, San Marcos, TX.
| SKU | Unavailable |
| ISBN 13 | 9781470470869 |
| ISBN 10 | 1470470861 |
| Title | One-Dimensional Ergodic Schrodinger Operators |
| Author | David Damanik |
| Series | Graduate Studies In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | American Mathematical Society |
| Year published | 2022-09-30 |
| Number of pages | 444 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |