The Integrated Density of States for Operators on Groups

The Integrated Density of States for Operators on Groups

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This thesis is devoted to the study of operators on discrete structures. The operators are supposed to be self-adjoint and obey a certain translation invariance property. The discrete structures are given as Cayley graphs via finitely generated groups. Here, sofic groups and amenable groups are in t...

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Bibliographic Details
Main Author: Schwarzenberger, Fabian
Other Authors: Technische Universität Chemnitz, Mathematik
Format: Doctoral Thesis
Language:English
Published: Universitätsbibliothek Chemnitz 2013
Subjects:
integrierte Zustandsdichte
spektrale Verteilungsfunktion
Pastur-Shubin Formel
zufällige Operatoren
Spektraltheorie
sofische Gruppen
amenable Gruppen
integrated density of states
spectral distribution function
Pastur-Shubin trace formula
random operators
spectral theory
sofic groups
amenable groups
ddc:515
Operator
Online Access:http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-123241
http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-123241
http://www.qucosa.de/fileadmin/data/qucosa/documents/12324/dissertation_schwarzenberger_farbig.pdf
http://www.qucosa.de/fileadmin/data/qucosa/documents/12324/signatur.txt.asc

Internet

http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-123241
http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-123241
http://www.qucosa.de/fileadmin/data/qucosa/documents/12324/dissertation_schwarzenberger_farbig.pdf
http://www.qucosa.de/fileadmin/data/qucosa/documents/12324/signatur.txt.asc

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