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 Ervin

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

Included in

Mathematics Commons

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