2 papers
math.DS2026
Typical Weak Mixing and Exceptional Spectral Properties for Interval Translation Mappings
Mauro Artigiani, Artur Avila, Sébastien Ferenczi +2
We investigate weak mixing for some classes of interval translation mappings. We give two distinct proofs that a typical Bruin-Troubetzkoy interval translation mapping is weakly mi…
math.DS2025
Renormalization for Bruin-Troubetzkoy ITMs
Mauro Artigiani, Pascal Hubert, Alexandra Skripchenko
We study a class of interval translation mappings introduced by Bruin and Troubetzkoy, describing a new renormalization scheme, inspired by the classical Rauzy induction for this c…