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arXiv · 2210.12251

Markov Capacity for Factor Codes with an Unambiguous Symbol

Guangyue Han·Brian Marcus·Chengyu Wu
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Abstract

In this paper, we first give a necessary and sufficient condition for a factor code with an unambiguous symbol to admit a subshift of finite type restricted to which it is one-to-one and onto. We then give a necessary and sufficient condition for the standard factor code on a spoke graph to admit a subshift of finite type restricted to which it is finite-to-one and onto. We also conjecture that for such a code, this finite-to-one property is equivalent to the existence of a stationary Markov chain that achieves the capacity of the corresponding deterministic channel.

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Guangyue Han, Brian Marcus, Chengyu Wu. 2022-10-21. Markov Capacity for Factor Codes with an Unambiguous Symbol. https://doi.org/10.1017/etds.2023.103

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