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Heat kernel, large-time behavior, and representation theory

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arxiv 2503.00554 v2 pith:D3ONIE2J submitted 2025-03-01 math.DG math.RT

Shu Shen , Yanli Song , Xiang Tang This is my paper · ORCID
classification math.DGmath.RT
keywords behaviorheatlarge-timetheoryvoganassociatedasymptoticcarmona
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abstract

Given a real reductive group $G$, the purpose of this paper is to show an asymptotic formula of the large-time behavior of the $G$-trace of the heat operator on the associated symmetric spaces. Together with Carmona's proof on Vogan's lambda map, our results provide a geometric counterpart of Vogan's minimal $K$-type theory.

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Cited by 1 Pith paper

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  1. The Equivariant Fried Conjecture for Suspension Flow of an Equivariant Isometry

    math.DG 2025-07 conditional novelty 7.0 of 10

    For proper cocompact equivariant isometries, the equivariant Fried conjecture holds for suspension flow when the group is compact, when the element has compact centralizer and closed conjugacy class, or when the eleme...

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