The entropy of α-continued fractions: numerical results
نویسندگان
چکیده
منابع مشابه
The Entropy of Nakada’s Α-continued Fractions: Analytical Results
We study the ergodic theory of a one-parameter family of interval maps Tα arising from generalized continued fraction algorithms. First of all, we prove the dependence of the metric entropy of Tα to be Hölder-continuous in the parameter α. Moreover, we prove a central limit theorem for possibly unbounded observables whose bounded variation grows moderately. This class of functions is large enou...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2010
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/23/10/005