منابع مشابه
ar X iv : 1 00 9 . 34 64 v 2 [ m at h . D S ] 9 N ov 2 01 0 COMPUTABILITY OF BROLIN - LYUBICH MEASURE
Brolin-Lyubich measure λR of a rational endomorphism R : Ĉ → Ĉ with degR ≥ 2 is the unique invariant measure of maximal entropy hλR = htop(R) = log d. Its support is the Julia set J(R). We demonstrate that λR is always computable by an algorithm which has access to coefficients of R, even when J(R) is not computable. In the case when R is a polynomial, BrolinLyubich measure coincides with the h...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2011
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-011-1363-1