5 papers
Existence of Solutions for Fractional Optimal Control Problems with Superlinear-subcritical Controls
Joshua M. Siktar
This paper gives an existence result for solutions to an elliptic optimal control problem based on a general fractional kernel, where the admissible controls come from a class sati…
Zeckendorf's Theorem Using Indices in an Arithmetic Progression
Amelia Gilson, Hadley Killen, Tamás Lengyel +4
Zeckendorf's Theorem states that any positive integer can be uniquely decomposed into a sum of distinct, non-adjacent Fibonacci numbers. There are many generalizations, including r…
Recasting the Proof of Parseval's Identity
Joshua M. Siktar
We generalize aspects of Fourier Analysis from intervals on to bounded and measurable subsets of . In doing so, we obtain a few interesting results. The…
Central Limit Theorems for Compound Paths on the 2-Dimensional Lattice
Evan Fang, Jonathan Jenkins, Zack Lee +5
Zeckendorf proved that every integer can be written uniquely as a sum of non-consecutive Fibonacci numbers , and later researchers showed that the distribution of the numb…
Gaussian Behavior in Zeckendorf Decompositions From Lattices
Eric Chen, Robin Chen, Lucy Guo +4
Zeckendorf's Theorem states that any positive integer can be written uniquely as a sum of non-adjacent Fibonacci numbers. We consider higher-dimensional lattice analogues, where a…