An investigation of local zeta functions of self-similar fractal strings

Samuel, D. (2022). An investigation of local zeta functions of self-similar fractal strings. https://scholar.acadiau.ca/islandora/object/theses:3687

Title: An investigation of local zeta functions of self-similar fractal strings
Author: Samuel, David
Call Number: LE3 .A278 2022
Date: 2022
Supervisor: Mendivil, Franklin
Degree Grantor: Acadia University
Degree Name: Master of Science
Degree Level: Masters
Discipline: Mathematics and Statistics
Affiliation: Mathematics & Statistics
Abstract: We give an overview of fractal strings and examine the relationship between theirMinkowski dimension/content to their complex dimensions and their geometric zeta functions with the aim of demonstrating the geometric information made available by studying these entities. Building on this knowledge, we propose a way of searching for locally defined geometric zeta functions by looking at simple examples of self-similar fractal strings.
Rights: The author grants permission to the University Librarian at Acadia University to reproduce, loan or distribute copies of my thesis in microform, paper or electronic formats on a non-profit basis. The author retains the copyright of the thesis.
Permanent Link: https://scholar.acadiau.ca/islandora/object/theses:3687

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