Browsing Applied Mathematics by Title
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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 ... 
ON SYMMETRIC 3WISE INTERSECTING FAMILIES
(201707) 
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
(20180123) 
Optimal escape from metastable states driven by nonGaussian noise
We investigate escape processes from metastable states that are driven by nonGaussian noise. Using a path integral approach, we define a weaknoise scaling limit that identifies optimal escape paths as minima of a stochastic ... 
Percolation in real multiplex networks
(20161216) 
Phase transitions in large deviations of reset processes
(20170310)