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arXiv · 2611.04880

Automaticity of structural defects in fixed points of block substitutions

Lior Tenenbaum
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Abstract

We study structural defects in fixed points of block substitutions, building on arXiv:2604.12637 and providing its technical supplement. We develop an automata-based framework to characterize their occurrence and derive verifiable combinatorial criteria. We also introduce simplifications for the construction and analysis of these automata, including tensor-product decompositions, that clarify the mechanisms underlying structural defects and their emergence.

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Lior Tenenbaum. 2026-11-03. Automaticity of structural defects in fixed points of block substitutions. https://arxiv.org/abs/2611.04880

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