trureturingGitHub MATHEMATICAL ATLAS

Analytic / CONCEPT

Pairwise Poisson Phase-Holonomy Energy

The pairwise Poisson phase-holonomy integral is nonnegative, detects equal heights, and is invariant under common height translation.

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THEOREM

Poisson phase-holonomy energy has the rational closed form

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Integrability of two-sided exponential decayIntegrability of two-sidedexponential decayPairwise Poisson Phase-Holonomy EnergyPairwise Poisson Phase-HolonomyEnergy
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Analytic
Node ID
D5/S3/Analytic/PoissonPhaseHolonomy/PairwisePoissonHolonomyEnergy
Repository path
D5/S3/Analytic/PoissonPhaseHolonomy/PairwisePoissonHolonomyEnergy.lean
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sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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