Unicritical polynomial maps with rational multipliers

Autor:	Huguin, Valentin
Rok vydání:	2020
Předmět:	Mathematics - Dynamical Systems 37P05 37P35 (Primary) 37F10 37F45 (Secondary)
Druh dokumentu:	Working Paper
Popis:	In this article, we prove that every unicritical polynomial map that has only rational multipliers is either a power map or a Chebyshev map. This provides some evidence in support of a conjecture by Milnor concerning rational maps whose multipliers are all integers. Comment: 23 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2009.02422 Zobrazit plný text záznamu View this record from Arxiv