Showing math.ATShow all
2 papers · 1 filter
math.AT2026
Algebra of Path Integrals on Digraphs
Shing-Tung Yau, Mengmeng Zhang, Yunpeng Zi
In this paper, we extend the iterated path integrals from smooth manifolds to digraphs and develop the associated algebraic and geometric structures. Iterated path integrals on a d…
math.AT2024
New Aspects of Analyzing Amyloid Fibrils
Xiaoxi Lin, Yunpeng Zi, Fengling Li +1
This is a summary of mathematical tools we used in research of analyzing the structure of proteins with amyloid form \cite{xi2024Top}. We defined several geometry indicators on the…