Adamczewski Boris &
Cassaigne Julien
On the transcendence of real numbers with a regular expansion.
We apply the FerencziMauduit 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 nonperiodic threeinterval exchange transformation.
