One-dimensional Ergodic Schrodinger Operators: General Theory (1) - Couverture souple

Damanik, David; Fillman, Jake

Couverture souple

ISBN 10 : 1470470861 ISBN 13 : 9781470470869

Editeur : 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 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).

A propos du livre

À propos de l?auteur

David Damanik, Rice University, Houston, TX.

Jake Fillman, Texas State University, San Marcos, TX.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2022
• Langue: anglais
• ISBN 10: 1470470861
• ISBN 13: 9781470470869
• Reliure: Broché
• Nombre de pages: 444
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible