title: Critical fluctuations in spatial complex networks.
abstract: An anomalous mean-field solution is known to capture the nontrivial phase diagram of the Ising model in annealed complex networks. Nevertheless, the critical fluctuations in random complex networks remain mean field. Here we show that a breakdown of this scenario can be obtained when complex networks are embedded in geometrical spaces. Through the analysis of the Ising model on annealed spatial networks, we reveal, in particular, the spectral properties of networks responsible for critical fluctuations and we generalize the Ginsburg criterion to complex topologies.
authors.affiliation: International School for Advanced Studies, via Beirut 2/4, 34014, Trieste, Italy.
authors.forename: Serena
authors.initials: S
authors.lastname: Bradde
authors.forename: Fabio
authors.initials: F
authors.lastname: Caccioli
authors.forename: Luca
authors.initials: L
authors.lastname: Dall'Asta
authors.forename: Ginestra
authors.initials: G
authors.lastname: Bianconi
mesh_terms: D008962:Models, Theoretical; D044367:Phase Transition