trureturingGitHub MATHEMATICAL ATLAS

FiniteGroups / CONCEPT

The Gaussian root, secant, and alpha bounds

The order-nine Perron root fixes the Gaussian crossing and the quantitative alpha bounds used by the finite odd-wrap return counts.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES5
PROOF DEPTH4
DOCUMENT LINKS0
THEOREM

The Gaussian has an explicit lower secant slope on the relevant ray

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D-Bonacci Perron RootD-Bonacci Perron RootThe Gaussian root, secant, and alpha boundsThe Gaussian root, secant, andalpha boundsA centered-ceiling counterexample for the original return thresholdA centered-ceilingcounterexample for the originalreturn thresholdA second-order threshold bracket with an explicit coefficientA second-order thresholdbracket with an explicitcoefficientA finite quantitative bracket for the complete original return thresholdA finite quantitative bracketfor the complete originalreturn thresholdAll-q square-displacement correction coefficientAll-q square-displacementcorrection coefficientSquare-displacement profiles and coefficient scalingSquare-displacement profilesand coefficient scaling
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Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
4
Layer
D5/S3
Domain
FiniteGroups
Node ID
D5/S3/FiniteGroups/BajnokBeattyOddWrapGaussianRoot
Repository path
D5/S3/FiniteGroups/BajnokBeattyOddWrapGaussianRoot.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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