On Poincaré Series of Unicritical Polynomials at the Critical Point  

作　　者：Juan Rivera-Letelier Weixiao Shen 

机构地区：[1]Facultad de Matemáticas,Pontificia Universidad Católica de Chile,Avenida Vicuña Mackenna 4860,Santiago,Chile [2]Block S17,10 Lower Kent Ridge Road,Singapore 119076,Singapore

出　　处：《Communications in Mathematics and Statistics》2013年第1期1-17,共17页数学与统计通讯（英文）

摘　　要：In this paper,we show that for a unicritical polynomial having a priori bounds,the unique conformal measure of minimal exponent has no atom at the critical point.For a conformal measure of higher exponent,we give a necessary and sufficient condition for the critical point to be an atom,in terms of the growth rate of the derivatives at the critical value.

关 键 词：Complex dynamics Julia sets Poincaréseries Summability condition 

分 类 号：O17[理学—数学]