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math.CA2019
Almost-nowhere intersection of Cantor sets, and sufficient sampling of their cumulative distribution functions
Allison Byars, Evan Camrud, Steven N. Harding +3
Cantor sets are constructed from iteratively removing sections of intervals. This process yields a cumulative distribution function (CDF), constructed from the invariant measure as…
math.CA2018
Applications of a distributional fractional derivative to Fourier analysis and its related differential equations
Evan Camrud
A new definition of a fractional derivative has recently been developed, making use of a fractional Dirac delta function as its integral kernel. This derivative allows for the defi…