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 retains copyright in this thesis. Any substantial copying or any other actions that exceed fair dealing or other exceptions in the Copyright Act require the permission of the author.
Permanent Link: https://scholar.acadiau.ca/islandora/object/theses:3687

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