5 papers
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…
Fractional operators via analytic interpolation of integer powers
Evan Camrud
Although the study of functional calculus has already established necessary and sufficient conditions for operators to be fractionalized, this paper aims to use our well-conceived…
Stability of the Kaczmarz Reconstruction for Stationary Sequences
Caleb Camrud, Evan Camrud, Lee Przybylski +1
The Kaczmarz algorithm is an iterative method to reconstruct an unknown vector from inner products . We consider the problem of how additive noise a…
On the nature of the conformable derivative and its applications to physics
Douglas R. Anderson, Evan Camrud, Darin J. Ulness
The purpose of this work is to show that the Khalil and Katagampoula conformable derivatives are equivalent to the simple change of variables where $α…
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…