Rational maps are d-adic Bernoulli
成果类型：
Article
署名作者：
Heicklen, D; Hoffman, C
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.2307/3597185
发表日期：
2002
页码：
103-114
关键词：
摘要：
Freire, Lopes and Mane proved that for any rational map f there exists a natural invariant measure mu(f) [5]. Mane showed there exists an n > 0 such that (f(n), mu(f)) is measurably conjugate to the one-sided d(n)-shift, with Bernoulli measure (1/d(n),...,1/d(n)) [15]. In this paper we show that (f, mu(f)) is conjugate to the one-sided Bernoulli d-shift. This verifies a conjecture of Freire, Lopes and Mane [5] and Lyubich [11].