Repeated-Endpoint Canon Permutations: Cone Walks and Spectral Geometry
Overview
The analytic cone-walk companion: probabilistic, harmonic, and spectral geometry. Full formal verification of the paper remains in progress.
Original public questions
Laudone Question 5.12: repeated-endpoint canon permutations
Robert Laudone: Pattern avoidance in canon permutations — Question 5.12: enumeration in the intermediate repeated-endpoint range, addressed by a reversible multichain encoding and an effective recurrence.
Original abstract (English)
This preprint solves the intermediate repeated-endpoint enumeration for canon permutations by a multichain recurrence and cone-walk model. It proves upper-boundary non-D-finiteness and exact asymptotics, and develops the associated harmonic-kernel and higher-dimensional spectral geometry. The foundational framework and results first appeared in the original unified preprint (10.5281/zenodo.22088094); this article is the focused analytic component of the subsequent reorganization. The companion combinatorial article is 10.5281/zenodo.22091632. A Lean 4 formalization of the principal results is in progress.
Mathematical review
Paper Close marks a working paper prepared and internally reviewed before release. Please treat it as an ordinary scholarly preprint: further checking or discussion may lead to corrections. It does not indicate complete formal verification or external peer review.
Review standard