3 problems

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Minimal periodic decomposition obstruction to low convex complexity
Let $etafrak ainmathcal{A}^{mathbb{Z}^2}$ be a configuration with $mathcal{A}subsetmathbb{Z}$ , and suppose … is a $\mathbb{Z}$ -minimal periodic decomposition. Let…
Problemopenpattern-complexity periodic-decompositions symbolic-dynamicsarXiv posted 2 days ago
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Szabados's converse conjecture for minimal periodic decompositions
Let $etafrak a$ be a configuration with a $Z$ -minimal periodic decomposition into periodic configurations. A line is nonexpansive when it is nonexpansive for the associated shift…
Conjectureopennonexpansive-directions periodic-decompositions symbolic-dynamicsarXiv posted 2 days ago
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Szabados's conjecture on nonexpansive lines and periodic decompositions
Let $X_$ be the shift orbit closure of a configuration $y$ admitting a $Z$ -minimal periodic decomposition … A line is nonexpansive for $X_$ if configurations in $X_$ agreeing on…
Conjectureopennonexpansive-directions periodic-decompositions symbolic-dynamicsarXiv posted 2 days ago

Minimal periodic decomposition obstruction to low convex complexity