The spectral measure of the Markov operator related to 3-generated 2-group of intermediate growth and its Jacobi parameters

It is shown that the KNS-spectral measure of the typical Schreier graph of the action of 3-generated 2-group of intermediate growth constructed by the first author in 1980 on the boundary of binary rooted tree coincides with the Kesten’s spectral measure, and coincides (up to affine transformation o...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Datum:2012
Hauptverfasser: Grigorchuk, R.I., Krylyuk, Ya.S.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2012
Schriftenreihe:Algebra and Discrete Mathematics
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/152209
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:The spectral measure of the Markov operator related to 3-generated 2-group of intermediate growth and its Jacobi parameters / R.I. Grigorchuk, Ya.S. Krylyuk // Algebra and Discrete Mathematics. — 2012. — Vol. 13, № 2. — С. 237–272. — Бібліогр.: 39 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine

Ähnliche Einträge