0-1-SEQUENCES OF TOEPLITZ TYPE
0-1-SEQUENCES OF TOEPLITZ TYPE
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DOI：
10.1007/bf00537017
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发表时间：
1969-01-01
期刊：
影响因子：
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通讯作者：
KEANE, M
中科院分区：
文献类型：
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作者：
JACOBS, K;KEANE, M
0-1序列是通过将符号0、1和“洞”的周期性序列连续插入到已经构建的序列的“洞”中来构建的。假设最后所有的“洞”都充满了符号0，1，那么移位空间中就会出现一个几乎周期的点。在某些条件下，它甚至是严格的遍历。证明了所附不变测度具有纯点谱，并得到了特征向量的一个比较明确的表达式。
0-1-sequences are constructed by successive insertion of a periodic sequence of symbols 0, 1 and “hole” into the “holes” of the sequence already constructed. Assuming that finally all “holes” are filled with symbols 0, 1, an almost periodic point in shift space results. Under certain conditions, it is even strictly ergodic. It is proved that the attached invariant measure has pure point spectrum, and a rather explicit expression for eigenvectors is obtained.