An investigation of local zeta functions of self-similar fractal strings
LE3 .A278 2022
Master of Science
Mathematics and Statistics
Mathematics & Statistics
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.
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