During the last few years quantum graphs have become a paradigm of quantum chaos with
applications from spectral statistics to chaotic scattering and wavefunction statistics. In the …

A brief survey on graph models for wave propagation in thin structures is presented. Such
models arise in many areas of mathematics, physics, chemistry and engineering (dynamical …

A quantum graph is a graph equipped with a self-adjoint differential or pseudodifferential
Hamiltonian. Such graphs have been studied recently in relation to some problems of …

This book addresses a new interdisciplinary area emerging on the border between various
areas of mathematics, physics, chemistry, nanotechnology, and computer science. The focus …

The purpose of this text is to set up a few basic notions concerning quantum graphs, to
indicate some areas addressed in the quantum graph research, and to provide some …

We present the results of the experimental study of the two-port scattering matrix S ̂ elastic
enhancement factor WS, β for microwave irregular networks simulating quantum graphs with …

We consider magnetic Schrödinger operators on quantum graphs with identical edges. The
spectral problem for the quantum graph is reduced to the discrete magnetic Laplacian on the …

We investigate quantum graphs with infinitely many vertices and edges without the common
restriction on the geometry of the underlying metric graph that there is a positive lower …

We present the results of an experimental and numerical study of the distribution of the
reflection coefficient P (R) and the distributions of the imaginary P (v) and the real P (u) parts …

Vibrating strings and the sound they generate have fascinated humankind ever since homo
sapiens inhabited the earth, and almost every culture has constructed musical string …