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.

引用

页码：733 / 764

页数：32

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