3 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
Minimality of Strong Foliations of Anosov and Partially Hyperbolic Diffeomorphisms
Artur Avila, Sylvain Crovisier, Amie Wilkinson
We study the topological properties of expanding invariant foliations of diffeomorphisms, in the context of partially hyperbolic diffeomorphisms and laminations with -d…
math.DS2014
Diffeomorphisms with positive metric entropy
Artur Avila, Sylvain Crovisier, Amie Wilkinson
We obtain a dichotomy for -generic, volume-preserving diffeomorphisms: either all the Lyapunov exponents of almost every point vanish or the volume is ergodic and non-uniforml…