A Riemannian metric on hyperbolic components

被引：0
|
作者：
He, Yan Mary [1 ]
Nie, Hongming [2 ]
机构：
[1] Univ Oklahoma, Dept Math, 601 Elm Ave, Norman, OK 73019 USA
[2] SUNY Stony Brook, Inst Math Sci, 100 Nicolls Rd, Stony Brook, NY 11794 USA
来源：
MATHEMATICAL RESEARCH LETTERS | 2023年 / 30卷 / 03期
关键词：
HAUSDORFF DIMENSION; EXTENSION;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a Riemannian metric on certain hyperbolic components in the moduli space of degree at least 2 rational maps in one complex variable. Our metric is constructed by considering the measure-theoretic entropy of a rational map with respect to some equilibrium state.
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页码：733 / 764
页数：32
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