端点反復 Canon 順列:錐内歩行とスペクトル幾何
Repeated-Endpoint Canon Permutations: Cone Walks and Spectral Geometry
研究概要
錐内歩行の解析的な関連論文として、確率・調和・スペクトル幾何を扱う。論文全体の形式検証は進行中。
原文要旨(英語)
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.
数学の検証
原稿は内部レビューを完了しています。この公開版の完全な形式化は、まだ確立されていません。
検証基準