Mathematics – Dynamical Systems
Scientific paper
2008-02-25
Mathematics
Dynamical Systems
21 pages
Scientific paper
We give an explicit expression for the invariant measure, absolutely
continuous with respect to the Lebesgue measure, of the greedy
beta-transformation with three deleted digits. We define a version of the
natural extension of the transformation to obtain this expression. We get that
the transformation is exact and weakly Bernoulli.
Dajani Karma
Kalle Charlene
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