TotalVariation / CONCEPT
Sharp coupling budgets on a permutation cycle
Single-cut couplings give the exact error budgets and attained minimax value for a finite permutation cycle.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES10
PROOF DEPTH4
DOCUMENT LINKS1
Single cuts, nonnegative budgets, and attainment
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- A finite counterexample to improved thermal recall convergencetruth-dependency · Closed
- A steady-state symmetry block without Markov formtruth-dependency · Closed
- An equilibrium complete graph defeats the activity boundtruth-dependency · Closed
- Diagonal correlance exceeds its proposed normalizationtruth-dependency · Closed
- Glauber relaxation times do not order energy relaxation ratestruth-dependency · Closed
- Informationally complete pairs and foreststruth-dependency · Closed
- Jensen-Shannon balls need not have majorization-minimizerstruth-dependency · Closed
- Refuting the binary detection threshold conjecturetruth-dependency · Closed
- The maximal index for arithmetic and geometric mean matricestruth-dependency · Closed
- The sharp classical network coherence boundtruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A facet of every lazy two-causal polytopestructural-affinity · Closed
- A finite counterexample to improved thermal recall convergencestructural-affinity · Closed
- A steady-state symmetry block without Markov formstructural-affinity · Closed
- An equilibrium complete graph defeats the activity boundstructural-affinity · Closed
- Diagonal correlance exceeds its proposed normalizationstructural-affinity · Closed
- Equality in Total-Variation Data Processingstructural-affinity · Closed
- Five Mode Predictive Law Geometrystructural-affinity · Closed
- Five Mode Predictive Law Geometry Corestructural-affinity · Closed
- Glauber relaxation times do not order energy relaxation ratesstructural-affinity · Closed
- Informationally complete pairs and forestsstructural-affinity · Closed
- Jensen-Shannon balls need not have majorization-minimizersstructural-affinity · Closed
- Le Cam's Two-Point Lemma for Every Finite Teststructural-affinity · Closed
- Lifting a Label Law at Equal Total-Variation Distancestructural-affinity · Closed
- Metric Laws and Variational Characterization for Finite Total Variationstructural-affinity · Closed
- Model-level equivalence does not imply measure-level equivalencestructural-affinity · Closed
- Native uniform innovations and the critical Bernoulli-factory momentstructural-affinity · Closed
- Nearest Laws With Declared Joint Sourcesstructural-affinity · Closed
- Power Mean Kernelsstructural-affinity · Closed
- Probability Extension Without Surjective Carrier Bondsstructural-affinity · Closed
- Product Subadditivity of Total Variationstructural-affinity · Closed
- Refuting the binary detection threshold conjecturestructural-affinity · Closed
- Seeded Bernoulli factory execution and total-call lower boundsstructural-affinity · Closed
- Sharp challenge instrumentstructural-affinity · Closed
- The 2-swap greedy shortest-path conjecture is falsestructural-affinity · Closed
- The maximal index for arithmetic and geometric mean matricesstructural-affinity · Closed
- The relabelled chained inequality for outcome communicationstructural-affinity · Closed
- The sharp classical network coherence boundstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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