2 citations · 4 across the 6 of their papers we have counts for
6 papers
Vietoris--Rips complexes of ellipses at larger scales
Henry Adams, Julian Carvajal, Jake Rhodes +3
For a metric space and , the Vietoris--Rips simplicial complex has as its vertex set, and a finite subset as a simplex whenever the d…
Shadows and photon rings of a quantum black hole
Jing-Peng Ye, Zhi-Qing He, Ai-Xu Zhou +2
Recently, a black hole model in loop quantum gravity has been proposed by Lewandowski, Ma, Yang and Zhang (Phys. Rev. Lett. \textbf{130}, 101501 (2023)). The metric tensor of the q…
Winning Strategies for Generalized Zeckendorf Game
Steven J. Miller, Eliel Sosis, Jingkai Ye
Zeckendorf proved that every positive integer can be written uniquely as the sum of non-adjacent Fibonacci numbers; a similar result holds for other positive linear recurrence…
Winning Strategy for the Multiplayer and Multialliance Zeckendorf Games
Anna Cusenza, Aidan Dunkelberg, Kate Huffman +7
Edouard Zeckendorf proved that every positive integer can be uniquely written \cite{Ze} as the sum of non-adjacent Fibonacci numbers, known as the Zeckendorf decomposition. Bas…
Extending Zeckendorf's Theorem to a Non-constant Recurrence and the Zeckendorf Game on this Non-constant Recurrence Relation
Elżbieta Bołdyriew, Anna Cusenza, Linglong Dai +16
Zeckendorf's Theorem states that every positive integer can be uniquely represented as a sum of non-adjacent Fibonacci numbers, indexed from . This has been gene…
Bounds on Zeckendorf Games
Anna Cusenza, Aiden Dunkelberg, Kate Huffman +7
Zeckendorf proved that every positive integer can be written uniquely as the sum of non-adjacent Fibonacci numbers. We use this decomposition to construct a two-player game. Gi…