Phase Transitions in Decision Problems Over Odd-Sized Alphabets

Andrew Jackson

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arXiv · 2505.09282

Phase Transitions in Decision Problems Over Odd-Sized Alphabets

Andrew Jackson

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Abstract

In [A. Jackson, Explaining the ubiquity of phase transitions in decision problems (2025), arXiv:2501.14569], I established that phase transitions are always present in a large subset of decision problems over even-sized alphabets, explaining -- in part -- why phase transitions are seen so often in decision problems. However, decision problems over odd-sized alphabets were not discussed. Here, I correct that oversight, showing that a similar subset of decision problems over odd-sized alphabets also always exhibit phase transitions.

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Andrew Jackson. 2025-05-14. Phase Transitions in Decision Problems Over Odd-Sized Alphabets. https://arxiv.org/abs/2505.09282

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