One-Dimensional Ergodic Schrodinger Operators

David Damanik, Jake Fillman

ISBN 10: 1470470861 / ISBN 13: 9781470470869

Editore: American Mathematical Society, US, 2022

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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).

Codice articolo LU-9781470470869

Dati bibliografici

• Titolo: One-Dimensional Ergodic Schrodinger Operators
• Editore: American Mathematical Society, US
• Data di pubblicazione: 2022
• Lingua: Inglese
• ISBN 10: 1470470861
• ISBN 13: 9781470470869
• Rilegatura: Paperback
• Condizione: New
• Peso: 800 grammi

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Riassunto

Beginning with a refresher on key topics in spectral theory, Damanik and Fillman present the basic theory of discrete one-dimensional Schrödinger operators with dynamically defined potentials. They also include a self-contained introduction to the relevant aspects of ergodic theory and topological dynamics, Their textbook is accessible to graduate students who have completed one-semester courses in measurement theory and complex analysis, they say, and is suitable for either classroom or individual study. Annotation ©2022 Ringgold, Inc., Portland, OR (protoview.com)