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PreprintCC BY 4.0arXiv

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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Cite

BibTeXRIS
BibTeX
@misc{tenenbaum2026automaticity,
  title = {{Automaticity of structural defects in fixed points of block substitutions}},
  author = {Lior Tenenbaum},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.04880},
  eprint = {2611.04880},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.04880},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Automaticity of structural defects in fixed points of block substitutions
AU  - Lior Tenenbaum
PY  - 2026
DA  - 2026/11/03
PB  - arXiv
DO  - 10.48550/arxiv.2611.04880
UR  - https://arxiv.org/abs/2611.04880
AB  - 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.
ER  -