The Fourier transform of the Hadamard transform: Multifractals, Sequences and Quantum Chaos

Simple item page
dc.creatorMeenakshisundaram, N.
dc.creatorLakshminarayan, Arul
dc.date2005-10-05
dc.date2006-10-17
dc.date.accessioned2026-07-07T06:48:10Z
dc.date.available2026-07-07T06:48:10Z
dc.descriptionWe introduce a class of functions that limit to multifractal measures and which arise when one takes the Fourier transform of the Hadamard transform. This introduces generalizations of the Fourier transform of the well-studied and ubiquitous Thue-Morse sequence, and introduces also generalizations to other intriguing sequences. We show their relevance to quantum chaos, by displaying quantum eigenfunctions of the quantum bakers map that are approximated well by such measures, thereby extending our recent work where we pointed to the existence of ``Thue-Morse'' states.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/nlin/0510009
dc.identifierhttp://arxiv.org/abs/nlin/0510009
dc.identifierProceedings of the National Conference on Nonlinear Systems and Dynamics, edited by M. Lakshmanan and R. Sahadevan (Allied Publishers, Chennai, India, 2006)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103899
dc.subjectChaotic Dynamics
dc.subjectOther Condensed Matter
dc.subjectQuantum Physics
dc.titleThe Fourier transform of the Hadamard transform: Multifractals, Sequences and Quantum Chaos
dc.typetext

Files

Collections

arXiv