Browsing Applied Mathematics by Subject "cond-mat.stat-mech"
Now showing items 1-4 of 4
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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 ... -
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 ... -
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 ... -
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 ...
