Words / CONCEPT
An Invariant Measure on the Golden Word Subshift
Cesaro averages of successive forward images of a point mass have a convergent subsequence in the compact space of probability measures, and the telescoping boundary term vanishes along it, so the limit is shift invariant.
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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH13
DOCUMENT LINKS1
Integrating a Cesaro average is averaging along the orbit
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RELATED KNOWLEDGE
Structural connections
- Intercept Independence of Irrational Mechanical Subshiftsstructural-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 the Golden Wordstructural-affinity · Closed
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