The newly emerging field of wave front shaping in complex media has recently seen
enormous progress. The driving force behind these advances has been the experimental …

This is a review of the statistical properties of the scattering matrix of a mesoscopic system.
Two geometries are contrasted: A quantum dot and a disordered wire. The quantum dot is a …

The entanglement entropy of subsystems of typical eigenstates of quantum many-body
Hamiltonians has recently been conjectured to be a diagnostic of quantum chaos and …

Using a stochastic model for N compound-nucleus resonances coupled to the channels, we
calculate in the limit N-> infinite the ensemble average of the S-matrix (the one-point …

A quantum dot is a sub-micron-scale conducting device containing up to several thousand
electrons. Transport through a quantum dot at low temperatures is a quantum-coherent …

We derive an approximate analytical formula for the spectral density of the q-body Sachdev-
Ye-Kitaev (SYK) model obtained by summing a class of diagrams representing leading …

We present a theory of multichannel disordered conductors by directly studying the statistical
distribution of the transfer matrix for the full system. The theory is based on the general …

Measurement-driven transitions between extensive and subextensive scaling of the
entanglement entropy receive interest as they illuminate the intricate physics of …

Assuming the validity of random matrices for describing the statistics of a closed chaotic
quantum system, we study analytically some statistical properties of the S-matrix …

The aim of this book is to present a statistical theory of wave scattering by complex systems-
systems which have a chaotic classical dynamics, as in the case of microwave cavities and …