Quantum / CONCEPT
A counterexample to Wasserstein power monotonicity
Two positive definite integer matrices reverse the required determinant comparison between powers one half and one for every internal weight, refuting Conjecture 5.7.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH12
DOCUMENT LINKS0
Conjecture 5.7 is false
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- CarlenLiebConvexitystructural-affinity · Closed
- Characterizing rigid alternative meansstructural-affinity · Closed
- InverseGeometricIdentificationstructural-affinity · Closed
- Off-midpoint obstruction for the original spectral meanstructural-affinity · Closed
- Positive normalized stationary tuplesstructural-affinity · Closed
- PsiMeanTraceConcavitystructural-affinity · Closed
- Spectral powers and matrix positivitystructural-affinity · Closed
- TildeSpectralNonconcavitystructural-affinity · Closed
- Wasserstein power means and eigenvalue productsstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance