164 citations · 287 across the 5 of their papers we have counts for
7 papers
Counting Stationary Points of Random Landscapes as a Random Matrix Problem
Yan V Fyodorov
Finding the mean of the total number of stationary points for N-dimensional random Gaussian landscapes can be reduced to averaging the absolute value of characteristic polynomial o…
Scattering, reflection and impedance of waves in chaotic and disordered systems with absorption
Y. V. Fyodorov, D. V. Savin, H. -J. Sommers
We review recent progress in analysing wave scattering in systems with both intrinsic chaos and/or disorder and internal losses, when the scattering matrix is no longer unitary. By…
Correlation functions of impedance and scattering matrix elements in chaotic absorbing cavities
D. V. Savin, Y. V. Fyodorov, H. -J. Sommers
Wave scattering in chaotic systems with a uniform energy loss (absorption) is considered. Within the random matrix approach we calculate exactly the energy correlation functions of…
Universal statistics of the local Green's function in quantum chaotic systems with absorption
D. V. Savin, H. -J. Sommers, Y. V. Fyodorov
We establish a general relation between the statistics of the local Green's function for systems with chaotic wave scattering and a uniform energy loss (absorption) and its two-poi…
Statistics of Impedance, Local Density of States, and Reflection in Quantum Chaotic Systems with Absorption
Yan V. Fyodorov, Dmitry V. Savin
We are interested in finding the joint distribution function of the real and imaginary parts of the local Green function for a system with chaotic internal wave scattering and a un…
Universality in the random matrix spectra in the regime of weak non-Hermiticity
Yan V. Fyodorov, Boris Khoruzhenko, H. -J. Sommers
This paper is a detailed account of the recent progress in understanding the statistical properties of complex eigenvalues of random non-Hermitian matrices reported earlier in our…