Browsing Applied Mathematics by Title
Now showing items 76-95 of 145
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Nature of hypergraph k -core percolation problems
(American Physical Society, 2024-01-17)Hypergraphs are higher-order networks that capture the interactions between two or more nodes. Hypergraphs can always be represented by factor graphs, i.e., bipartite networks between nodes and factor nodes (representing ... -
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, 2018-07-18)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
(2015-10-21) -
Network structure of multivariate time series.
(2015-10-21)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 May-Wigner Instability Transition
(PNAS, 2016-01)We study a system of $N\gg 1$ degrees of freedom coupled via a smooth homogeneous Gaussian vector field with both gradient and divergence-free components. In the absence of coupling, the system is exponentially relaxing ... -
Nonlinear analogue of the May−Wigner instability transition
(National Academy of Sciences, 2016-06-06)We study a system of N≫1degrees of freedom coupled via a smooth homogeneous Gaussian vector field with both gradient and divergence-free components. In the absence of coupling, the system is exponentially relaxing to an ... -
Nonlinear rotations on a lattice
(2018) -
ON SYMMETRIC 3-WISE INTERSECTING FAMILIES
(2017-07) -
On the distribution of maximum value of the characteristic polynomial of GUE random matrices
Motivated by recently discovered relations between logarithmically correlated Gaussian processes and characteristic polynomials of large random $N \times N$ matrices $H$ from the Gaussian Unitary Ensemble (GUE), we consider ... -
On the thermodynamic origin of metabolic scaling
(2018-01-23) -
Optimal escape from metastable states driven by non-Gaussian noise
We investigate escape processes from metastable states that are driven by non-Gaussian noise. Using a path integral approach, we define a weak-noise scaling limit that identifies optimal escape paths as minima of a stochastic ... -
Percolation in real multiplex networks
(2016-12-16)