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The Heat Kernel Method

1996
The goal of the heat kernel method is to express (2.40) as an integral over the fixed point set M γ in M of the transformation γ. Here M γ = M if γ is the identity. The method is based on the following observations about arbitrary elliptic differential operators D, acting on sections of a smooth vector bundle F over a compact manifold M, which admits a
openaire   +1 more source

Graph characteristics from the heat kernel trace

Pattern Recognition, 2009
Richard Wilson, Xiao Bai, Edwin Hancock
exaly  

On gradient bounds for the heat kernel on the Heisenberg group

Journal of Functional Analysis, 2008
Fabrice Baudoin   +2 more
exaly  

Gradient estimates for the subelliptic heat kernel on H-type groups

Journal of Functional Analysis, 2010
Nathaniel Eldredge
exaly  

Relation between heat kernel method and scattering spectral method

European Physical Journal C, 2012
Wu-Sheng Dai, Mi Xie
exaly  

Strong short-time asymptotics and convolution approximation of the heat kernel

Annals of Global Analysis and Geometry, 2018
Matthias Ludewig
exaly  

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