Words / CONCEPT
Polynomial Complexity and Subshift Hausdorff Dimension
Polynomial factor complexity forces the associated prefix-language subshift to have Hausdorff dimension zero.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES2
PROOF DEPTH10
DOCUMENT LINKS1
The base word belongs to its subshift
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
- Balance of Lower Mechanical Wordsstructural-affinity · Closed
- Density and Slope Rigidity of Mechanical Subshiftsstructural-affinity · Closed
- Discrepancy and Density of Lower Mechanical Wordsstructural-affinity · Closed
- Exact Diameter and Optimal Supports for Green Classesstructural-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
- The First Hole Is Bounded by the Budget, with Equality for Prefix Namesstructural-affinity · Closed
- The Green Class Has Content-Independent Measure n to the Minus mstructural-affinity · Closed
- The Minimal Forward-Shift Action on the Golden Subshiftstructural-affinity · Closed
- The One-Sided Morse-Hedlund Theoremstructural-affinity · Closed
- Topology and Cardinality of Word Subshiftsstructural-affinity · Closed
- Uniform Recurrence of the Golden Wordstructural-affinity · Closed
- Words: Golden Factor Complexitystructural-affinity · Closed
- Words: Golden Recurrencestructural-affinity · Closed
- Words: Morse Hedlund Conversestructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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