StatisticalMechanics / CONCEPT
The sharp lower bound on unicyclic skewness plus kurtosis
The sum of skewness and kurtosis of every finite positive unidirectional cycle exceeds −8/27, the greatest lower bound over all cycle sizes.
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DIRECT PREREQUISITES2
DIRECT CONSEQUENCES2
PROOF DEPTH5
DOCUMENT LINKS0
Joint moments of the same normalized vector
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
- Finite Perron supplier: CollatzWielandtstructural-affinity · Closed
- Finite Perron supplier: Dominancestructural-affinity · Closed
- Finite Perron supplier: Irreduciblestructural-affinity · Closed
- Finite Perron supplier: Primitivestructural-affinity · Closed
- The exact upper endpoint of unicyclic skewness minus kurtosisstructural-affinity · Closed
- The minimum skewness of a unidirectional cyclestructural-affinity · Closed
- The sharp lower bound on unicyclic current kurtosisstructural-affinity · Closed
- The sharp lower bound on unicyclic skewness times kurtosisstructural-affinity · Closed
- Unrestricted weighted walks and counting entropystructural-affinity · Closed
Documents & exposition
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Other authored & advisory relationships
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