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math.CO2025
Spectral theory of dense hypergraph limits
Ágnes Backhausz, Christian Kuehn, Sjoerd van der Niet +2
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…
math.PR2025
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…
math.AG2025
Strata of Ecological Coexistence via Grassmannians
Türkü Özlüm Çelik, 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…