FiniteGroups / CONCEPT
The all-odd square-displacement threshold
Exact finite signed-word returns have a unique first-wrap threshold for every odd square displacement.
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DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH16
DOCUMENT LINKS0
The unique threshold and its finite upper bound
RELATIONSHIP ATLAS
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Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A centered-ceiling counterexample for the original return thresholdstructural-affinity · Closed
- A finite quantitative bracket for the complete original return thresholdstructural-affinity · Closed
- A finite second-order Gaussian envelope for the original returnsstructural-affinity · Closed
- A fourth-order envelope for actual square-displacement countsstructural-affinity · Closed
- A sharper negative cone for the original odd-wrap quotientsstructural-affinity · Closed
- A sharper positive cone for the original odd-wrap quotientsstructural-affinity · Closed
- A strict finite Gaussian envelope for the original quotient returnsstructural-affinity · Closed
- A uniform square-displacement envelope for actual countsstructural-affinity · Closed
- All-q square-displacement correction coefficientstructural-affinity · Closed
- Finite Gaussian upper envelope for the original quotient returnsstructural-affinity · Closed
- The corrected threshold bracket for all odd square displacementsstructural-affinity · Closed
- The fourth square-displacement coefficientstructural-affinity · Closed
- The scale of the finite square-displacement remainderstructural-affinity · Closed
- The unique odd-wrap sign thresholdstructural-affinity · Closed
Documents & exposition
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Other authored & advisory relationships
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