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StatisticalMechanics / CONCEPT

The marginal criterion does not imply GHS for general exponential random graphs

An edge-triangle Gibbs law has every edge marginal above one half and a positive third Ursell function.

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Three vertices refute the sufficiency direction

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Three-class homomorphism limitsThree-class homomorphism limitsThe marginal criterion does not imply GHS for general exponential random graphsThe marginal criterion does notimply GHS for generalexponential random graphs
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
StatisticalMechanics
Node ID
D5/S3/StatisticalMechanics/ErgmGhsMarginalConjectureRefutation
Repository path
D5/S3/StatisticalMechanics/ErgmGhsMarginalConjectureRefutation.lean
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sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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