Application of signal analysis to the embedding problem of ${\mathbb{Z}}^k$-actions

Yonatan Gutman, Yixiao Qiao, Masaki Tsukamoto

We study the problem of embedding arbitrary ${\mathbb{Z}}^k$-actions into the shift action on the infinite dimensional cube ${\left([0,1{]}^D\right)}^{{\mathbb{Z}}^k}$. We prove that if a…