One-Dimensional Ergodic Schrodinger Operators: I. General Theory: 1 (Graduate Studies in Mathematics) - Tapa blanda

Damanik, David; Fillman, Jake

 
9781470470869: One-Dimensional Ergodic Schrodinger Operators: I. General Theory: 1 (Graduate Studies in Mathematics)
Tapa blanda
ISBN 10: 1470470861 ISBN 13: 9781470470869
Editorial: American Mathematical Society, 2022

Sinopsis

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).

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Acerca del autor

David Damanik, Rice University, Houston, TX.

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

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
2022
Idioma
Inglés
ISBN 10 
1470470861
ISBN 13 
9781470470869
Encuadernación
Tapa blanda
Número de páginas
444
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9781470456061: One-Dimensional Ergodic Schrodinger Operators: I. General Theory: 1 (Graduate Studies in Mathematics)

Edición Destacada

ISBN 10:  1470456060 ISBN 13:  9781470456061
Editorial: American Mathematical Society, 2022
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