trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Fixed-cutoff Gram limit

The actual fixed-cutoff Gram matrices converge to their diagonal face weights.

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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH2
DOCUMENT LINKS0
THEOREM

Convergence on the fixed old vertex set

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Actual cutoff spectral boundsActual cutoff spectral boundsFixed-cutoff Gram limitFixed-cutoff Gram limitSecond eigenvalue of the inner-face Apollonian stagesSecond eigenvalue of the inner-face Apollonian stages
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Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Apollonian/CutoffGramLimit
Repository path
D5/S3/Combinatorics/Apollonian/CutoffGramLimit.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.