Box dimension of stable sub-slices of fractal graphs over Anosov automorphisms

Bernardo Carvalho, Rafael da Costa Pereira

We consider fractal graphs invariant by a skew product $F:{\mathbb{T}}^k\times \mathbb{R}\to {\mathbb{T}}^k\times \mathbb{R}$ of the form $F(x,y)=(Ax,\lambda y+p(x))$ where $0<\lambda <1$,…