Words / CONCEPT
Invariant Measures Have Full Support
Every shift-invariant Borel probability measure on the golden word subshift has full support and is therefore positive on every nonempty open set.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH14
DOCUMENT LINKS1
Full support makes every nonempty open set positive
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- An Invariant Measure on the Golden Word Subshiftstructural-affinity · Closed
- Intercept Independence of Irrational Mechanical Subshiftsstructural-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
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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