24 citations · 31 across the 4 of their papers we have counts for
4 papers
Walk based Laplacians for Modeling Diffusion on Complex Networks
Francesca Arrigo, Fabio Durastante
We develop a novel framework for modeling diffusion on complex networks by constructing Laplacian-like operators based on walks around a graph. Our approach introduces a parametric…
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…
Mittag-Leffler functions and their applications in network science
Francesca Arrigo, Fabio Durastante
We describe a complete theory for walk-based centrality indices in complex networks defined in terms of Mittag-Leffler functions. This overarching theory includes as special cases…
Spectral Analysis of Saddle-point Matrices from Optimization problems with Elliptic PDE Constraints
Fabio Durastante, Isabella Furci
The main focus of this paper is the characterization and exploitation of the asymptotic spectrum of the saddle--point matrix sequences arising from the discretization of optimizati…