Publisher DOI: 10.1093/imrn/rnx246
Title: Oscillation Theory for the Density of States of High Dimensional Random Operators
Language: English
Authors: Großmann, Julian Peter  
Schulz-Baldes, Hermann 
Villegas-Blas, Carlos 
Issue Date: 1-Aug-2019
Source: International Mathematics Research Notices 15 (2019): 4579-4602 (2019-08-01)
Abstract (english): 
Sturm-Liouville oscillation theory is studied for Jacobi operators with block entries given by covariant operators on an infinite dimensional Hilbert space. It is shown that the integrated density of states of the Jacobi operator is approximated by the winding of the Prüfer phase w.r.t. the trace per unit volume. This rotation number can be interpreted as a spectral flow in a von Neumann algebra with finite trace.
URI: http://hdl.handle.net/11420/6016
ISSN: 1687-0247
Institute: Mathematik E-10 
Document Type: Article
Journal: International mathematics research notices 
Appears in Collections:Publications without fulltext

Show full item record

Page view(s)

63
Last Week
1
Last month
2
checked on Jun 27, 2022

SCOPUSTM   
Citations

1
Last Week
0
Last month
0
checked on Jun 21, 2022

Google ScholarTM

Check

Add Files to Item

Note about this record

Cite this record

Export

Items in TORE are protected by copyright, with all rights reserved, unless otherwise indicated.