On Oscillation-free ε-random Sequences II
نویسندگان
چکیده
It has been shown (see [10]), that there are strongly MARTIN-LÖFε-random ω-words that behave in terms of complexity like random ωwords. That is, in particular, the a priori complexity of these ε-random ω-words is bounded from below and above by linear functions with the same slope ε. In this paper we will study the set of these ω-words in terms of HAUSDORFF measure and dimension. Additionally we find upper bounds on a priori complexity, monotone and simple complexity for a certain class of ω-power languages.
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تاریخ انتشار 2009