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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 ...
Truncations of random orthogonal matrices
(2010-10-19)
Non-Hermitian Ensembles
(Oxford University Press, 2011)