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重复端点 Canon 排列:锥中游走与谱几何

Repeated-Endpoint Canon Permutations: Cone Walks and Spectral Geometry

Li, Alex Chengyu

工作论文 · Zenodo首次公开

研究概述

解析性的锥中游走伴篇,涉及概率、调和与谱几何。论文的完整形式化验证仍在进行。

原文摘要(英文)

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.

公开摘要来源

MathematicsCombinatoricscanon permutationspattern avoidancelattice walks in conesnon-D-finite generating functionsharmonic functionsspherical trianglesspectral geometry

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