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J. Duke

4 papers hereh-index 26 citations6 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • middle author3
  • last author1

Across the 4 of 4 papers where every author was matched, so the position is known.

fields
  • cs.CG1
  • math.CO1
  • math.DS1
  • math.HO1
same name
  • J. Duke — 7 papers, h 6
  • J. Duke — 6 papers, h 26
  • J. Duke — 2 papers, h 4
  • J. Duke — 1 paper, h 17
  • J. Duke — 1 paper, h 1

Either other researchers who publish under this name, or the same person where the external sources have not merged their records.

identity via Semantic Scholar / OpenAlex

most citedAn invitation to Fibonacci digits

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.HO2024★ 1 cited

An invitation to Fibonacci digits

Justin Cheigh, Guilherme Zeus Dantas e Moura, Jacob Lehmann Duke +6

The purpose of this short note is to show the interplay between math outreach and conducting original research, in particular how each can build off the other.

math.DS2024

Ergodicity and Algebraticity of the Fast and Slow Triangle Maps

Thomas Garrity, Jacob Lehmann Duke

Our goal is to show that both the fast and slow versions of the triangle map (a type of multi-dimensional continued fraction algorithm) in dimension n are ergodic, resolving a co…

math.CO2022

Towards the Gaussianity of Random Zeckendorf Games

Justin Cheigh, Guilherme Zeus Dantas e Moura, Ryan Jeong +4

Zeckendorf proved that any positive integer has a unique decomposition as a sum of non-consecutive Fibonacci numbers, indexed by F1​=1,F2​=2,Fn+1​=Fn​+Fn−1​. Motiva…

cs.CG2022

Distinct Angles and Angle Chains in Three Dimensions

Ruben Ascoli, Livia Betti, Jacob Lehmann Duke +6

In 1946, Erdős posed the distinct distance problem, which seeks to find the minimum number of distinct distances between pairs of points selected from any configuration of n poin…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.