Estimation / CONCEPT
Top eigenvector weights on the remaining correlation domain
On the remaining correlation domain, matrices whose top eigenvectors have smaller weight exist in every sufficiently large dimension exactly when c is less than sigma.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS0
Eventual existence holds exactly above the diagonal
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
- Moments of the sign pair U-statisticstructural-affinity · Closed
- Taylor coefficients and weak majorizationstructural-affinity · Closed
- Upper norm compression reduces to three block columnsstructural-affinity · Closed
- Weil: Hermitian Pos Partstructural-affinity · Closed
- Weil: Pos Indexstructural-affinity · Closed
- Weil: Rank Tracestructural-affinity · Closed
- Weil: Von Neumannstructural-affinity · Closed
- Weil: Weylstructural-affinity · Closed
Documents & exposition
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Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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