J. Korean Math. Soc. 2011; 48(2): 383-395
Printed March 1, 2011
https://doi.org/10.4134/JKMS.2011.48.2.383
Copyright © The Korean Mathematical Society.
Hyoungkeun Kim and Seungseol Park
Ajou University, Ajou University
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.
Keywords: Toeplitz sequences, entropy dimensions, intermediate complexity
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