77 citations · 956 across the 77 of their papers we have counts for
4 papers · 1 filter
Non-Markovian heat flows on directed hypergraphs
Delio Mugnolo
We introduce a semigroup framework for Laplacians on directed hypergraphs, extending the classical heat flow models on graphs and establishing hypergraphs as prototypical models fo…
Random evolution equations: well-posedness, asymptotics, and applications to graphs
Stefano Bonaccorsi, Francesca Cottini, Delio Mugnolo
We study diffusion-type equations supported on structures that are randomly varying in time. After settling the issue of well-posedness, we focus on the asymptotic behavior of solu…
Dynamical systems associated with adjacency matrices
Delio Mugnolo
We develop the theory of linear evolution equations associated with the adjacency matrix of a graph, focusing in particular on infinite graphs of two kinds: uniformly locally finit…
Time regularity and long-time behavior of parabolic -Laplace equations on infinite graphs
Bobo Hua, Delio Mugnolo
We consider the so-called \emph{discrete -Laplacian}, a nonlinear difference operator that acts on functions defined on the nodes of a possibly infinite graph. We study the asso…