8 papers
Markov and lattice bases for Forman-Ricci curvature of graphs
Jane Ivy Coons, Giulio Zucal
Discrete Forman-Ricci curvature is a quantity associated to each edge of a graph that describes its local geometry. It has proven to be a useful tool in network analysis in a varie…
Spectral theory of dense hypergraph limits
Ãgnes Backhausz, Christian Kuehn, Sjoerd van der Niet +1
In this work, we develop a spectral theory for hypergraph limits. We prove the convergence of the spectra of adjacency and Laplacian matrices for hypergraph sequences converging in…
Large deviations for probability graphons
Pierfrancesco Dionigi, Giulio Zucal
We establish a large deviation principle (LDP) for probability graphons, which are symmetric functions from the unit square into the space of probability measures. This notion exte…
Strata of Ecological Coexistence via Grassmannians
Türkü Ãzlüm Ãelik, Pierre A. Haas, Georgy Scholten +2
We study the Lotka--Volterra system from the perspective of computational algebraic geometry, focusing on equilibria that are both feasible and stable. These conditions stratifies…
Action convergence of general hypergraphs and tensors
Giulio Zucal
Action convergence provides a limit theory for linear bounded operators where are potentially different probability spaces. T…
Probability graphons and P-variables: two equivalent viewpoints for dense weighted graph limits
Giulio Zucal
We develop further the graph limit theory for dense weighted graph sequences. In particular, we consider probability graphons, which have recently appeared in graph limit theory as…