Asymptotics / CONCEPT
Hausdorff Dimension of the Naming Space and Its Green Classes
The PiNat naming space and every finite-support green class have dimension log base two of the alphabet size.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH2
DOCUMENT LINKS1
String measure satisfies the critical mass-distribution bound
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
- Budget and First-Gap Geometry of Green Classesstructural-affinity · Closed
- Exact Diameter and Optimal Supports for Green Classesstructural-affinity · Closed
- Finite-Prefix and Infinite-Completion Separationstructural-affinity · Closed
- Finite-Prefix and Infinite-Completion Separationstructural-affinity · Closed
- Green-Class Mass and Naming Conservationstructural-affinity · Closed
- Green-Class Window Entropystructural-affinity · Closed
- Identifiability, Estimability, and Computationstructural-affinity · Closed
- Infinite Identification without Finite Exact Tomographystructural-affinity · Closed
- Naming Tower Conservationstructural-affinity · Closed
- Prefix-Law and Completion Separationstructural-affinity · Closed
- Sharp Radius of a Finite-Support Agreement Classstructural-affinity · Closed
- The First Hole Is Bounded by the Budget, with Equality for Prefix Namesstructural-affinity · Closed
- The Green Class Has Content-Independent Measure n to the Minus mstructural-affinity · Closed
- Varying-Marginal Green-Class Measurestructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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