The Ginibre unitary ensemble (GinUE) consists of $ N\times N $ random matrices with
independent complex standard Gaussian entries. This was introduced in 1965 by Ginbre …

We develop a general method to compute correlation functions of fractional quantum Hall
(FQH) states on a curved space. In a curved space, local transformation properties of FQH …

We show that universal transport coefficients of the fractional quantum Hall effect (FQHE)
can be understood as a response to variations of spatial geometry. Some transport …

Understanding the fluctuations of observables is one of the main goals in science, be it
theoretical or experimental, quantum or classical. We investigate such fluctuations in a …

We numerically investigate the guiding center structure factors of several states in the Read-
Rezayi family. Using exact diagonalizations on the torus and density matrix renormalization …

This open access book focuses on the Ginibre ensembles that are non-Hermitian random
matrices proposed by Ginibre in 1965. Since that time, they have enjoyed prominence within …

The quantum dynamics of the intrinsic metric profoundly influence the neutral excitations in
the fractional quantum Hall system, as established by Haldane [Phys. Rev. Lett. 107, 116801 …

The Monte Carlo method is very useful for studying various model states proposed for the
fractional quantum Hall systems. In this paper, we introduce a lattice Monte Carlo method …

We develop a collective field theory for fractional quantum Hall (FQH) states. We show that
in the leading approximation for a large number of particles, the properties of Laughlin states …

We revisit the problem of computing the boundary density profile of a droplet of two-
dimensional one-component plasma (2D OCP) with logarithmic interaction between …