StatisticalMechanics / CONCEPT
Q_4 is not a maximal renewal minorant
Nikolov and Savov's Conjecture 3.7 fails at k = 4: the polynomial x^2(x+y+z)+xy is a degree-three renewal minorant strictly above Q_4 at interior points of the probability simplex.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES1
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DOCUMENT LINKS1
Refutation at k = 4
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Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
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Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Classical-quantum Gram realizationstructural-affinity · Closed
- Conditional subentropy and guessingstructural-affinity · Closed
- Finite sign twirls and entropy gapsstructural-affinity · Closed
- Gaussian quadratic formsstructural-affinity · Closed
- Guessing probabilitystructural-affinity · Closed
- PositiveSimplexGeometryAndMixingstructural-affinity · Closed
- POVM Gram decompositionstructural-affinity · Closed
- The matrix Gaussian entropy expectationstructural-affinity · Closed
Documents & exposition
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