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math.AP2025
The Logarithmic Laplacian on General Graphs
Rui Chen, Wendi Xu
We establish, for the first time, a Bochner-type integral representation for the logarithmic Laplacian on weighted graphs. Assuming stochastic completeness of the underlying graph,…
math.AP2025
Logarithmic Laplacian on General Riemannian Manifolds
Rui Chen
We introduce, for the first time, a Bochner integral formula for the logarithmic Laplacian on any complete Riemannian manifold. This unified framework recovers the classical pointw…