Abstract
This chapter is entirely devoted to the study of the so-called integrated density of states. It is an object of interest for various reasons. It is of physical importance for it can be measured experimentally in some cases. On the top of its physical appeal, the integrated density of states is a very interesting mathematical object which deserves to be investigated for its own sake. Many challenging mathematical problems remain open in this respect. Finally, several proofs of technical results crucial to the study of the spectral properties of the random Hamiltonians, and in particular of the localization, rely very heavily on estimates of the integrated density of states.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1990 Birkhäuser Boston
About this chapter
Cite this chapter
Carmona, R., Lacroix, J. (1990). The Integrated Density of States. In: Spectral Theory of Random Schrödinger Operators. Probability and Its Applications. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4488-2_6
Download citation
DOI: https://doi.org/10.1007/978-1-4612-4488-2_6
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-8841-1
Online ISBN: 978-1-4612-4488-2
eBook Packages: Springer Book Archive