Browsing Applied Mathematics by Author "Fyodorov, YV"
Now showing items 1-6 of 6
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A few remarks on colour-flavour transformations, truncations of random unitary matrices, Berezin reproducing kernels and Selberg-type integrals
Fyodorov, YV; Khoruzhenko, BA (2007-01-26) -
Nonlinear Analogue of the May-Wigner Instability Transition
Fyodorov, YV; Khoruzhenko, BA (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
Fyodorov, YV; KHORUZHENKO, B (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 ... -
On absolute moments of characteristic polynomials of a certain class of complex random matrices
Fyodorov, YV; Khoruzhenko, BA (2007-08) -
On the distribution of maximum value of the characteristic polynomial of GUE random matrices
Fyodorov, YV; Simm, NJMotivated 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 ... -
Universal K-matrix distribution in beta=2 ensembles of random matrices
Fyodorov, YV; Khoruzhenko, BA; Nock, A (2013-07-05)