StatisticalMechanics / CONCEPT
The sharp lower bound on unicyclic current kurtosis
The kurtosis of every finite positive unidirectional cycle exceeds −(1 + √5)/10, and this constant is the greatest lower bound over all cycle sizes.
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DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH1
DOCUMENT LINKS0
Kurtosis in rescaled inverse rates
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
- Densitystructural-affinity · Closed
- Foundationsstructural-affinity · Closed
- Hermite nodes from two momentsstructural-affinity · Closed
- Hermite upper envelopestructural-affinity · Closed
- LaguerreMomentsstructural-affinity · Closed
- SecondOrderDensitystructural-affinity · Closed
- StrongAbsorptionCumulantsstructural-affinity · Closed
- StrongAbsorptionMomentsstructural-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 skewness plus kurtosisstructural-affinity · Closed
Documents & exposition
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