Abstract: We consider the set of permutations $\pi $ of $\mathbb{Z}^d$ such that $\pi (n)-n$ lies, for every $n\in \mathbb{Z}^d$, in a prescribed finite set $A\subset \mathbb{Z}^d$. For $d=1$, such permutations occur, for example, in restricted orbit equivalence, or in the calculation of determinants of certain bi-infinite multi-diagonal matrices. These sets of permutations provide natural classes of $d$-dimensional shifts of finite type with interesting dynamical properties. Joint work with Gabriel Strasser.
Permutations of Zd with restricted movement
13.10.2016 15:15 - 17:00
Organiser:
H. Bruin, R. Zweimüller
Location: