In this review, a model (the random coupling model) that gives a statistical description of the
coupling of radiation into and out of large enclosures through localized and/or distributed …

A non-Hermitian complex symmetric 2× 2-matrix toy model is used to study projective Hilbert
space structures in the vicinity of exceptional points (EPs). The bi-orthogonal eigenvectors of …

Applying random matrix theory to quantum transport in chaotic cavities, we develop a
powerful method for computing the moments of the conductance and shot-noise (including …

Predicting the statistics of realistic wave-chaotic scattering systems requires, in addition to
random matrix theory, introduction of system-specific information. This paper investigates …

In many situations, the statistical properties of wave systems with chaotic classical limits are
well described by random matrix theory. However, applications of random matrix theory to …

We establish large deviation formulas for linear statistics on the N transmission eigenvalues
{T i} of a chaotic cavity, in the framework of random matrix theory. Given any linear statistics …

Resonance Scattering of Waves in Chaotic Systems Page 1 arXiv:1003.0702v1 [cond-mat.mes-hall]
2 Mar 2010 Chapter 34 Resonance Scattering of Waves in Chaotic Systems YV Fyodorov1 …

In the framework of the random matrix approach, we apply the theory of Selberg's integral to
problems of quantum transport in chaotic cavities. All the moments of transmission …

We consider the effective Hamiltonian of an open quantum system, its biorthogonal
eigenfunctions ϕ λ, and define the value r λ=(ϕ λ∣ ϕ λ)∕⟨ ϕ λ∣ ϕ λ⟩ that characterizes …

Prediction of the statistics of scattering in typical wave-chaotic systems requires combining
system-specific information with universal aspects of chaotic scattering as described by …