# TOEPLITZ SEQUENCES OF INTERMEDIATE COMPLEXITY

• Received : 2009.10.29
• Published : 2011.03.01

#### Abstract

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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#### Cited by

1. COLORINGS OF TREES WITH LINEAR, INTERMEDIATE AND EXPONENTIAL SUBBALL COMPLEXITY vol.52, pp.6, 2015, https://doi.org/10.4134/JKMS.2015.52.6.1123