Combinatorics / CONCEPT
Second eigenvalue of the inner-face Apollonian stages
The exact all-natural-stage second ordinary-adjacency eigenvalue limit.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH7
DOCUMENT LINKS0
The original limit along every natural stage
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
- Actual cutoff dilation spectrumstructural-affinity · Closed
- Actual cutoff spectral boundsstructural-affinity · Closed
- Expanding square matrices and their singular valuesstructural-affinity · Closed
- Fixed-cutoff Gram limitstructural-affinity · Closed
- Inner-face Apollonian stagesstructural-affinity · Closed
- The Gram-discrepancy spectral estimatestructural-affinity · Closed
- The lower Gelfand–Naimark ratio inequalitystructural-affinity · Closed
- The map Psi and reduction-block positivitystructural-affinity · Closed
- The trace-corrected arithmetic boundstructural-affinity · Closed
- Unequal block dilation spectrastructural-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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