The Lonely Runner Conjecture
Clayton Barnes II
TL;DR
This paper provides a comprehensive survey of the Lonely Runner Conjecture, exploring its links to Diophantine approximation and view-obstruction problems, highlighting current progress and open questions.
Contribution
It offers an extensive overview of the conjecture's background, related mathematical areas, and recent developments, serving as a valuable resource for researchers.
Findings
Summarizes key results and partial solutions to the conjecture.
Identifies connections between the conjecture and other mathematical problems.
Outlines open problems and future research directions.
Abstract
A detailed survey of the Lonely Runner Conjecture and its connection between Diophantine approximation and View-obstruction problems.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Dynamics and Fractals · Algebraic Geometry and Number Theory · Advanced Mathematical Theories and Applications