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Heat kernels on forms defined on a subgraph of a complete graph

Lin, Y; Ngai, SM; Yau, ST

Ngai, SM (corresponding author), Hunan Normal Univ, Coll Math & Stat, Key Lab High Performance Comp & Stochast Informat, Minist Educ China, Changsha 410081, Hunan, Peoples R China.; Ngai, SM (corresponding author), Georgia Southern Univ, Dept Math Sci, Statesboro, GA 30460 USA.

MATHEMATISCHE ANNALEN, 2021; 380 (3-4): 1891

Abstract

We study the heat kernel expansion of the Laplacian on n-forms defined on a subgraph of a directed complete graph. We derive two expressions for the s......

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