165 citations · 610 across the 15 of their papers we have counts for
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Variance of transmitted power in multichannel dissipative ergodic structures invariant under time reversal
Igor Rozhkov, Yan V. Fyodorov, Richard L. Weaver
We use random matrix theory (RMT) to study the first two moments of the wave power transmitted in time reversal invariant systems having ergodic motion. Dissipation is modeled by a…
Distribution of the local density of states, reflection coefficient and Wigner delay time in absorbing ergodic systems at the point of chiral symmetry
Yan V. Fyodorov, Alexander Ossipov
Employing the chiral Unitary Ensemble of random matrices we calculate the probability distribution of the local density of states for zero-dimensional ("quantum chaotic") two-subla…
Real roots of Random Polynomials: Universality close to accumulation points
A. P. Aldous, Y. V. Fyodorov
We identify the scaling region of a width O(n^{-1}) in the vicinity of the accumulation points of the real roots of a random Kac-like polynomial of large degree n. We arg…
Induced vs Spontaneous Breakdown of S-matrix Unitarity: Probability of No Return in Quantum Chaotic and Disordered Systems
Yan V. Fyodorov
We investigate systematically sample-to sample fluctuations of the probability of no return into a given entrance channel for wave scattering from disordered systems. For zero-…
Level Curvature distribution in a model of two uncoupled chaotic subsystems
Guler Ergun, Yan V. Fyodorov
We study distributions of eigenvalue curvatures for a block diagonal random matrix perturbed by a full random matrix. The most natural physical realization of this model is a quant…
On random symmetric matrices with a constraint: the spectral density of random impedance networks
J. Staering, B. Mehlig, Yan V. Fyodorov +1
We derive the mean eigenvalue density for symmetric Gaussian random N x N matrices in the limit of large N, with a constraint implying that the row sum of matrix elements should va…