Complex networks with tuneable spectral dimension as a universality playground
Ana P. Millán, Giacomo Gori, Federico Battiston, Tilman Enss, Nicolò Defenu
Abstract
The authors study a complex network model whose spectral dimension can be continuously tuned in the range ${d}_{s}\ensuremath{\in}[1,+\mathrm{\ensuremath{\infty}}]$. The disorder contribution to this dimension mirrors the dependence of the anomalous dimension of the Ising model in fractional dimensions.
Topics & Concepts
Universality (dynamical systems)Euclidean geometryStatistical physicsComputationDimension (graph theory)MathematicsRenormalization groupTheoretical computer scienceTheoretical physicsComputer sciencePhysicsPure mathematicsAlgorithmQuantum mechanicsMathematical physicsGeometryComplex Network Analysis TechniquesTheoretical and Computational PhysicsStochastic processes and statistical mechanics