Nonlocal-interaction equation on graphs: Gradient flow structure and continuum limit

We consider dynamics driven by interaction energies on graphs. We introduce graph analogues of the continuum nonlocal-interaction equation and interpret them as gradient flows with respect to a graph Wasserstein distance. The particular Wasserstein distance we consider arises from the graph analogue...

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Bibliographic Details
Main Authors: Esposito, A, Patacchini, FS, Schlichting, A, Slepcev, D
Format: Journal article
Language:English
Published: Springer 2021