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Random operators : disorder effects on quantum spectra and dynamics / Michael Aizenman, Simone Warzel.
Connect to full text Available online
View online- Format:
- Book
- Author/Creator:
- Aizenman, Michael, author.
- Series:
- Graduate studies in mathematics ; v. 168.
- Graduate Studies in Mathematics ; v. 168
- Language:
- English
- Subjects (All):
- Random operators.
- Stochastic analysis.
- Order-disorder models.
- Physical Description:
- 1 online resource (xiv, 326 pages).
- Other Title:
- Graduate Studies in Mathematics.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2015]
- System Details:
- Mode of access : World Wide Web
- text file
- Contents:
- Chapter 1. Introduction Chapter 2. General relations between spectra and dynamics Chapter 3. Ergodic operators and their self-averaging properties Chapter 4. Density of states bounds: Wegner estimate and Lifshitz tails Chapter 5. The relation of Green functions to eigenfunctions Chapter 6. Anderson localization through path expansions Chapter 7. Dynamical localization and fractional moment criteria Chapter 8. Fractional moments from an analytical perspective Chapter 9. Strategies for mapping exponential decay Chapter 10. Localization at high disorder and at extreme energies Chapter 11. Constructive criteria for Anderson localization Chapter 12. Complete localization in one dimension Chapter 13. Diffusion hypothesis and the Green-Kubo-Streda formula Chapter 14. Integer quantum Hall effect Chapter 15. Resonant delocalization Chapter 16. Phase diagrams for regular tree graphs Chapter 17. The eigenvalue point process and a conjectured dichotomy Appendix A. Elements of spectral theory Appendix B. Herglotz-Pick functions and their spectra
- Notes:
- Includes bibliographical references (pages 303-321) and index.
- Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2015
- Description based on print version record.
- Other Format:
- Print version: Aizenman, Michael, Random operators :
- ISBN:
- 9781470427832
- Access Restriction:
- Restricted for use by site license.
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