Ellie Byrnes
Harvey Mudd College Mathematics 2020 - 2021
Thesis Advisor: Dr. Jon Jacobsen (Harvey Mudd College - Department of Mathematics)
Second Reader: Dr. Jasper Weinburd (Harvey Mudd College - Department of Mathematics)
Contact: ebyrnes@g.hmc.edu
Fractals, Fractional Derivatives, and Functional Square Roots
Fractals, Fractional Derivatives, and Functional Square Roots
We're using the fractal dimension as a measurement tool for the error given by the discretization of the Continuous Newton's Method and analyzing fractional derivatives. We're also investigating functional square roots with the hopes of recovering a continuous dynamical system which Newton's Method corresponds to.