Words / CONCEPT
Intercept Independence of Irrational Mechanical Subshifts
At an irrational slope, every intercept gives the same lower mechanical factor language and subshift, while equality of subshifts is equivalent to equality of slopes.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH14
DOCUMENT LINKS1
The mechanical subshift is independent of the intercept
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Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- An Invariant Measure on the Golden Word Subshiftstructural-affinity · Closed
- Density and Slope Rigidity of Mechanical Subshiftsstructural-affinity · Closed
- Finite Prefix Local Constancystructural-affinity · Closed
- Invariant Measures Have Full Supportstructural-affinity · Closed
- Minimality of Irrational Lower Mechanical Word Subshiftsstructural-affinity · Closed
- Minimality of the Golden Word Subshiftstructural-affinity · Closed
- No Uniform Infinite-Future Stability Radiusstructural-affinity · Closed
- Polynomial Complexity and Subshift Hausdorff Dimensionstructural-affinity · Closed
- The Minimal Forward-Shift Action on the Golden Subshiftstructural-affinity · Closed
- Topology and Cardinality of Word Subshiftsstructural-affinity · Closed
- Uniform Recurrence of Irrational Lower Mechanical Wordsstructural-affinity · Closed
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