trureturingGitHub MATHEMATICAL ATLAS

Fourier / CONCEPT

Same-noise second integral

Symmetric product-space kernels have a unique continuous centered-square integral on the same Gaussian noise.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

Rank-one kernel totality

RELATIONSHIP ATLAS

Every connection, in context.

Explore in 3D
Direct recorded relationships
Countable Gaussian Quadratic Fourth MomentCountable Gaussian QuadraticFourth MomentSame-noise second integralSame-noise second integralActual kernel spectral constructionActual kernel spectralconstructionGaussian frequency integrationGaussian frequency integration
Proof dependencyStructural affinityDocument link

RELATED KNOWLEDGE

Structural connections

Documents & exposition

Other authored & advisory relationships

None recorded in this release.

LIBRARY / RELEASE VERSIONS

Content history

Loading release versions...
Browse the archive

Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Fourier
Node ID
D5/S3/Fourier/Asymptotics/SameNoiseSecondChaos
Repository path
D5/S3/Fourier/Asymptotics/SameNoiseSecondChaos.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

Authority boundary

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.