ON THE MULTIPLIER OF A REPELLING FIXED-POINT

• 成果类型: Article
• 署名作者: GOLDBERG, LR
• 署名单位: City University of New York (CUNY) System; Brooklyn College (CUNY)
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/BF01231527
• 发表日期: 1994
• 页码: 85-108
• 关键词: polynomial maps

摘要

We estimate the multiplier lambda of a repelling fixed point with rational rotation number for a polynomial in one complex variable. We show that a canonical branch of the logarithm of lambda lies in a small disk tangent to the imaginary axis. The radius of the disk is determined by the degree of the polynomial, the rotation number of the fixed point and the escape rates and external arguments of the critical values.