Words / CONCEPT
Minimality of Irrational Lower Mechanical Word Subshifts
Uniform recurrence makes every member of an irrational lower mechanical word subshift share its factor language, hence every forward orbit is dense and no proper nonempty closed shift-invariant subsystem exists.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH13
DOCUMENT LINKS1
Every base factor occurs in every subshift member
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
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
- Discrepancy and Density of Lower Mechanical Wordsstructural-affinity · Closed
- Factor Complexity of Irrational Lower Mechanical Wordsstructural-affinity · Closed
- Finite Prefix Local Constancystructural-affinity · Closed
- Intercept Independence of Irrational Mechanical Subshiftsstructural-affinity · Closed
- Invariant Measures Have Full Supportstructural-affinity · Closed
- Minimality of the Golden Word Subshiftstructural-affinity · Closed
- No Uniform Infinite-Future Stability Radiusstructural-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
Documents & exposition
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