Kirchhoff divergence and diffusions associated to transport probability measures
Analysis of PDEs
2020-08-10 v2
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.
Keywords
Cite
@article{arxiv.2002.03357,
title = {Kirchhoff divergence and diffusions associated to transport probability measures},
author = {Hugo Aimar and Ivana Gómez},
journal= {arXiv preprint arXiv:2002.03357},
year = {2020}
}
Comments
10 pages. We add a couple of references. We have also corrected some typos