Adamczewski Boris &
Cassaigne Julien
On the transcendence of real numbers with a regular expansion.
We apply the Ferenczi-Mauduit combinatorial condition obtained via a
reformulation on a Ridout's theorem to prove that a real number whose
$b$-ary expansion is the coding of an irrational rotation on the circle
with respect to a partition in two intervals is transcendental. We also
prove the transcendence of real numbers whose $b$-ary expansion arises from
a non-periodic three-interval exchange transformation.
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