一类有限型子移位的混沌性态

对任何k≥2, 考虑由k阶0-1矩阵A_k=(a_ij)决定的有限型子移位, 其中, a_ij=1当且仅当i=k或j=i+1. 通过与限制在某不变集上的区间映射建立拓扑共轭关系, 证明了该类子移位是分布混沌的.

Chaotic Behaviors for a Class of Subshifts of Finite Type

For any k≥2, the subshift of finite type is determined by the k×k 0-1 matrix A_k=(a_ij), where a_ij=1 if and only if i=k or j=i+1. By establishing the topologically conjugate relation between such a subshift and an interval map restricted to some invariant set and using a known result, we prove that the subshift is distributively chaotic.