StatisticalMechanics / CONCEPT
The minimum skewness of a unidirectional cycle
For every unidirectional cycle with at least two states, the least skewness of positive rates is attained when one rate is the reciprocal of the number of other rates.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH4
DOCUMENT LINKS0
Normalized inverse rates belong to the standard simplex
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
- Finite Perron supplier: Auxiliarystructural-affinity · Closed
- Finite Perron supplier: CollatzWielandtstructural-affinity · Closed
- Finite Perron supplier: Dominancestructural-affinity · Closed
- Finite Perron supplier: Irreduciblestructural-affinity · Closed
- Finite Perron supplier: Primitivestructural-affinity · Closed
- Finite Perron supplier: Spectrumstructural-affinity · Closed
- Foundationsstructural-affinity · Closed
- LaguerreMomentsstructural-affinity · Closed
- Minimum directed-cycle mean and zero-temperature pressurestructural-affinity · Closed
- SecondOrderDensitystructural-affinity · Closed
- StrongAbsorptionCumulantsstructural-affinity · Closed
- StrongAbsorptionMomentsstructural-affinity · Closed
- The exact upper endpoint of unicyclic skewness minus kurtosisstructural-affinity · Closed
- The sharp lower bound on unicyclic current kurtosisstructural-affinity · Closed
- The sharp lower bound on unicyclic skewness plus kurtosisstructural-affinity · Closed
- The sharp lower bound on unicyclic skewness times kurtosisstructural-affinity · Closed
- Unrestricted weighted walks and counting entropystructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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