10 citations · 11 across the 6 of their papers we have counts for
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Benford Behavior of Generalized Zeckendorf Decompositions
Andrew Best, Patrick Dynes, Xixi Edelsbrunner +5
We prove connections between Zeckendorf decompositions and Benford's law. Recall that if we define the Fibonacci numbers by and , every…
Geometric-progression-free sets over quadratic number fields
Andrew Best, Karen Huan, Nathan McNew +4
A problem of recent interest has been to study how large subsets of the natural numbers can be while avoiding 3-term geometric progressions. Building on recent progress on this pro…
Limiting Spectral Measures for Random Matrix Ensembles with a Polynomial Link Function
Kirk Swanson, Steven J. Miller, Kimsy Tor +1
Consider the ensembles of real symmetric Toeplitz matrices and real symmetric Hankel matrices whose entries are i.i.d. random variables chosen from a fixed probability distribution…
Gaussian Behavior of the Number of Summands in Zeckendorf Decompositions in Small Intervals
Andrew Best, Patrick Dynes, Xixi Edelsbrunner +5
Zeckendorf's theorem states that every positive integer can be written uniquely as a sum of non-consecutive Fibonacci numbers , with initial terms . We con…
Benford Behavior of Zeckendorf Decompositions
Andrew Best, Patrick Dynes, Xixi Edelsbrunner +5
A beautiful theorem of Zeckendorf states that every integer can be written uniquely as the sum of non-consecutive Fibonacci numbers . A set $S \subset \…