Solving lonely runner conjecture through differential geometry

DOI10.2478/jamsi-2022-0002OpenAlexW4283792875MaRDI QIDQ2688813

Timotej Šumný, Viliam Ďuriš, Dalibor Gonda, Tomáš Lengyelfalusy

Publication date: 6 March 2023

Published in: Journal of Applied Mathematics, Statistics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/jamsi-2022-0002

zbMATH Keywords

kinematicsdifferential geometrygeometric interpretationlonely runner problem

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Diophantine equations in many variables (11D72)

Cites Work

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• The lonely runner with seven runners
• View-obstruction problems. III
• Flows, view obstructions, and the lonely runner
• View-obstruction: a shorter proof for 6 lonely runners
• The Kantorovich metric for probability measures on the circle
• Distance graphs with maximum chromatic number
• Zwei Sätze über inhomogene diophantische Approximation von Irrationalzahlen
• View-obstruction problems
• Six lonely runners

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