Keywords
Fractals
Abstract
We study spectral properties for invariant measures associated to affine iterated function systems. We present various conditions under which the existence of a Hadamard pair implies the existence of a spectrum for the fractal measure. This solves a conjecture proposed by Dorin Dutkay and Palle Jorgensen, in several special cases in dimension 2.
Notes
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Graduation Date
2011
Semester
Spring
Advisor
Dutkay, Dorin
Degree
Doctor of Philosophy (Ph.D.)
College
College of Sciences
Department
Mathematics
Format
application/pdf
Identifier
CFE0003873
URL
http://purl.fcla.edu/fcla/etd/CFE0003873
Language
English
Length of Campus-only Access
None
Access Status
Doctoral Dissertation (Open Access)
Subjects
Dissertations, Academic -- Sciences, Sciences -- Dissertations, Academic
STARS Citation
Alrud, Beng Oscar, "Fractal Spectral Measures In Two Dimensions" (2011). Electronic Theses and Dissertations. 2000.
https://stars.library.ucf.edu/etd/2000