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Permutations of $\mathbb{Z}^d$ with restricted movement. (arXiv:1510.01068v4 [math.DS] UPDATED)
来源于:arXiv
We investigate dynamical properties of the set of permutations of
$\mathbb{Z}^d$ with restricted movement, i.e., permutations $\pi $ of
$\mathbb{Z}^d$ such that $\pi (\mathbf{n})-\mathbf{n}$ lies, for every
$\mathbf{n}\in \mathbb{Z}^d$, 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. For $d\ge2$ these sets of permutations provide natural
classes of examples of multidimensional shifts of finite type. 查看全文>>