A numerical study of Gibbs $u$-measures for partially hyperbolic diffeomorphisms on ${\mathbb{T}}^3$

Andrey Gogolev, Itai Maimon, Aleksey N. Kolmogorov

We consider a hyperbolic automorphism $A:{\mathbb{T}}^3\to {\mathbb{T}}^3$ of the 3-torus whose 2-dimensional unstable distribution splits into weak and strong unstable subbundles. W…