trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Mutual Abelian-Border Densities of Binary Word Pairs

Both binary mutual abelian-border densities have limits, with witnesses 1 and 0.

Closed Authored exposition
DIRECT PREREQUISITES5
DIRECT CONSEQUENCES0
PROOF DEPTH7
DOCUMENT LINKS1
THEOREM

Reflection count for nonnegative walks

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GelfondGelfondWeighted Dyck Paths in a StripWeighted Dyck Paths in a StripBounded Runs and Coherent PrefixesBounded Runs and CoherentPrefixesMathar's recurrence for surviving walks from height 3Mathar's recurrence forsurviving walks from height 3Statistical Mechanics: Walk CountStatistical Mechanics: WalkCountMutual Abelian-Border Densities of Binary Word PairsMutual Abelian-Border Densitiesof Binary Word Pairs
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
7
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/AbelianBorders/MutualAbelianBorderDensity
Repository path
D5/S3/Combinatorics/AbelianBorders/MutualAbelianBorderDensity.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.