trureturingGitHub MATHEMATICAL ATLAS

Zeros / CONCEPT

A tree Ising polynomial with an off-circle root

Positive joint split weights refute the tree Lee-Yang conjecture.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES14
PROOF DEPTH1
DOCUMENT LINKS0
THEOREM

Conjecture 1 is refuted for joint weights

RELATIONSHIP ATLAS

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Direct recorded relationships
Named Tree Phase TransportNamed Tree Phase TransportA tree Ising polynomial with an off-circle rootA tree Ising polynomial with anoff-circle rootDouble-hub coefficientDouble-hub coefficientDouble-hub endpointDouble-hub endpointDouble-hub graphDouble-hub graphDouble-hub gridDouble-hub gridDouble-hub homogeneousDouble-hub homogeneousDouble-hub incidenceDouble-hub incidenceDouble-hub orientationDouble-hub orientationDouble-hub phaseDouble-hub phaseDouble-hub reciprocalDouble-hub reciprocalDouble-hub rootgeometryDouble-hub rootgeometryDouble-hub rootsDouble-hub rootsDouble-hub samplesDouble-hub samplesDouble-hub sourceDouble-hub sourceAn all-vertex physical tree polynomial with off-circle rootsAn all-vertex physical treepolynomial with off-circleroots
Proof dependencyStructural affinityDocument link

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Documents & exposition

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LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Zeros
Node ID
D5/S3/Zeros/LeeYang/QuiverTreeIsingRefutation
Repository path
D5/S3/Zeros/LeeYang/QuiverTreeIsingRefutation.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.