Phase / CONCEPT
Continuous Averages of Irrational Rotations
Continuous observables of an irrational rotation have normalized Haar average at every phase.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH1
DOCUMENT LINKS1
Convergence for every continuous observable and every initial phase
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A CRT law for actual square-displacement thresholdsstructural-affinity · Closed
- A fourth-order envelope for actual square-displacement countsstructural-affinity · Closed
- Character Averages of Irrational Rotationsstructural-affinity · Closed
- Interval Sampling of Irrational Rotationsstructural-affinity · Closed
- Irrationality of Natural Logarithmsstructural-affinity · Closed
- Polynomial Equidistribution on Unrestricted Rectanglesstructural-affinity · Closed
- The log-two threshold bracketstructural-affinity · Closed
- The scale of the finite square-displacement remainderstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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