A Solution to the Lonely Runner Conjecture for Almost All Points

Autor:	Horvat, C. Harold, Stoffregen, Matthew
Rok vydání:	2011
Předmět:	Mathematics - Number Theory Mathematics - Dynamical Systems 11
Druh dokumentu:	Working Paper
Popis:	The Lonely Runner Conjecture is a number theory problem, dating to 1964. Using dynamical systems theory, we show almost all sets of velocities solve the conjecture. Furthermore, any "traditional" approach of Diophantine approximation cannot solve the problem, and we offer a short list of reformulations of the problem. Comment: 5 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1103.1662 Zobrazit plný text záznamu View this record from Arxiv