Browsing Applied Mathematics by Title
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Large random simplicial complexes, I
(201609) 
Likelihoodbased assessment of dynamic networks
(20160323) 
Network Entropy measures applied to different systemic perturbations of cell basal state
We characterize different cell states, related to cancer and ageing phenotypes, by a measure of entropy of network ensembles, integrating gene expression values and protein interaction networks. The entropy measure estimates ... 
Network Geometry and Complexity
(Springer Verlag, 20180718)Higher order networks are able to characterize data as different as functional brain networks, protein interaction networks and social networks beyond the framework of pairwise interactions. Most notably higher order ... 
Network structure of multivariate time series
(20151021) 
Network structure of multivariate time series.
(20151021)Our understanding of a variety of phenomena in physics, biology and economics crucially depends on the analysis of multivariate time series. While a wide range tools and techniques for time series analysis already exist, ... 
Nonlinear Analogue of the MayWigner Instability Transition
(PNAS, 201601)We study a system of $N\gg 1$ degrees of freedom coupled via a smooth homogeneous Gaussian vector field with both gradient and divergencefree components. In the absence of coupling, the system is exponentially relaxing ... 
Nonlinear analogue of the May−Wigner instability transition
(National Academy of Sciences, 20160606)We study a system of N≫1degrees of freedom coupled via a smooth homogeneous Gaussian vector field with both gradient and divergencefree components. In the absence of coupling, the system is exponentially relaxing to an ...