The singular continuous diffraction measure of the Thue-Morse chain

Baake, Michael and Grimm, Uwe (2008). The singular continuous diffraction measure of the Thue-Morse chain. Journal of Physics A: Mathematical and Theoretical, 41(42), p. 422001.

Full text available as:

Preview

PDF (Accepted Manuscript) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader Download (105Kb)

DOI (Digital Object Identifier) Link:	http://dx.doi.org/doi:10.1088/1751-8113/41/42/422001
Google Scholar:	Look up in Google Scholar

Abstract

The paradigm for singular continuous spectra in symbolic dynamics and in mathematical diffraction is provided by the Thue-Morse chain, in its realization as a binary sequence with values in ±1. We revisit this example and derive a functional equation together with an explicit form of the corresponding singular continuous diffraction measure, which is related to the known representation as a Riesz product.

Item Type:	Journal Article
Copyright Holders:	2008 Institute of Physics
ISSN:	1751-8121
Funders:	EPSRC [EP/D058465/1]
Academic Unit/Department:	Mathematics, Computing and Technology > Mathematics and Statistics
Item ID:	11892
Depositing User:	Uwe Grimm
Date Deposited:	30 Sep 2008 13:49
Last Modified:	02 Dec 2012 09:44
URI:	http://oro.open.ac.uk/id/eprint/11892

Actions (login may be required)

	View Item
RDF+XMLBibTeXRDF+N-TriplesJSONDublin CoreAtomOAI-ORE Resource Map (Atom Format)Simple MetadataReferMETSOAI-ORE Resource Map (RDF Format)HTML CitationASCII CitationMultiline CSVRefMan RIS Format (UTF-8)OpenURL ContextObjectEndNoteMODSOpenURL ContextObject in SpanMPEG-21 DIDLEP3 XMLRefMan RIS FormatRDF+N3Eprints Application Profile	Public: Report issue / request change