Olivia Beckwith

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20112026

most citedThe Average Gap Distribution for Generalized Zeckendorf Decompositions

26 citations · 52 across the 18 of their papers we have counts for

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math.NT2012★ 26 cited

The Average Gap Distribution for Generalized Zeckendorf Decompositions

Olivia Beckwith, Amanda Bower, Louis Gaudet +4

An interesting characterization of the Fibonacci numbers is that, if we write them as $F_{1} = 1$ , $F_{2} = 2$ , $F_{3} = 3$ , $F_{4} = 5, ...$ , then every positive integer can be written un…

math.CO2012★ 8 cited

Minkowski length of 3D lattice polytopes

Olivia Beckwith, Matthew Grimm, Jenya Soprunova +1

We study the Minkowski length L(P) of a lattice polytope P, which is defined to be the largest number of non-trivial primitive segments whose Minkowski sum lies in P. The Minkowski…