TOEPLITZ SEQUENCES OF INTERMEDIATE COMPLEXITY

Hyoung-Keun Kim, Seung-Seol Park · Journal of the Korean Mathematical Society · 2011

We present two constructions of Toeplitz sequences with an intermediate complexity function by using the generalized Oxtoby sequence. In the first one, we use the blocks from the infinite sequence, which has entropy dimension $\frac{1}{2}$ . The second construction provides the Toeplitz sequences which have various entropy dimensions.

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