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arXiv · 2002.03357

Kirchhoff divergence and diffusions associated to transport probability measures

Hugo Aimar·Ivana Gómez
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Abstract

Taking as starting point the approach to the divergence operator on weighted graphs, we give a notion of divergence associated to transport coupling and coupled measures on locally compact Hausdorff spaces. We consider the induced Laplacian operator and the corresponding heat diffusion operators in some particular instances.

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Hugo Aimar, Ivana Gómez. 2020-02-09. Kirchhoff divergence and diffusions associated to transport probability measures. https://arxiv.org/abs/2002.03357

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