The lonely runner conjecture turns 60
The Lonely Runner Conjecture originated in Diophantine approximation is turning 60. Even if the conjecture is still widely open, the flow of partial results, innovative tools and connections to different problems and applications has been steady on its long life. This survey attempts to give a panor...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/443357 |
| Acceso en línea: | https://hdl.handle.net/2117/443357 https://dx.doi.org/10.1016/j.cosrev.2025.100798 |
| Access Level: | acceso abierto |
| Palabra clave: | Diophantine equations Probabilities Algorithms Lonely runner conjecture Diophantine approximation View-Obstruction problems Chromatic number of distance graphs Nombres transcendents Probabilitats Algorismes Classificació AMS::11 Number theory::11J Diophantine approximation, transcendental number theory Classificació AMS::11 Number theory::11K Probabilistic theory: distribution modulo $1$ metric theory of algorithms Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de nombres |
| Sumario: | The Lonely Runner Conjecture originated in Diophantine approximation is turning 60. Even if the conjecture is still widely open, the flow of partial results, innovative tools and connections to different problems and applications has been steady on its long life. This survey attempts to give a panoramic view of the status of the problem, trying to highlight the contributions of the many papers that it has originated. |
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