Generic sequences, transducers and multiplication of normal numbers (Q1802787)

This is a very nice paper dealing with topological joinings between subshifts, with normality (or ``almost'' normality) of real numbers, and with transducers. One of the striking result of the authors is to answer a question of Rauzy whether a (reasonable) literal transducer preserves normality or ``almost'' normality of real numbers. Their results give again (and extend) the case of addition of and multiplication by a rational number. Finally they give conditions for a transducer to map normal numbers in base \(p\) to normal numbers in base \(p'\neq p\).