From the 1 of 2 linked papers with an AI index.
2 papers
cs.SI2026
Walk based Laplacians for Modeling Diffusion on Complex Networks
Francesca Arrigo, Fabio Durastante
The paper introduces a family of walk‑based Laplacian operators for modeling diffusion on complex networks, including variants that suppress or downweight backtracking steps, and p…
cs.SI2025
Modeling advection on distance-weighted directed networks
Michele Benzi, Fabio Durastante, Francesco Zigliotto
In this paper we propose a model for describing advection dynamics on distance-weighted directed graphs. To this end we establish a set of key properties, or axioms, that a discret…