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 …

Mesoscopic physics refers to the physics of structures larger than a nanometer (one billionth
of a meter) but smaller than a micrometer (one millionth of a meter). This size range is the …

A formula is derived that relates the conductance of a normal-metal–superconductor (NS)
junction to the single-electron transmission eigenvalues. The formula is applied to a …

We study electron counting statistics of a disordered conductor in the low-temperature limit.
We derive an expression for the distribution of charge transmitted over a finite time interval …

An exact solution is presented of the Fokker-Planck equation which governs the evolution of
an ensemble of disordered metal wires of increasing length, in a magnetic field. By a …

We consider the complete probability distribution P ({T n}) of the transmission eigenvalues T
1, T 2,..., TN of a disordered quasi-one-dimensional conductor (length L much greater than …

We study the competition between Haar-random unitary dynamics and measurements for
unstructured systems of qubits. For projective measurements, we derive various properties …

We study the Josephson effect in the multiterminal junction of topological superconductors.
We use the symmetry-constrained scattering matrix approach to derive band dispersions of …

Abstract We solve the Dorokhov-Mello-Pereyra-Kumar equation which describes the
evolution of an ensemble of disordered wires of increasing length in the three cases β= 1, 2 …

A nonperturbative random-matrix theory is applied to the transmission of a monochromatic
scalar wave through a disordered waveguide. The probability distributions of the …