Here we review the many aspects and distinct phenomena associated to quantum dynamics
on general graph structures. For so, we discuss such class of systems under the energy …

We present experimental studies of the power spectrum and other fluctuation properties in
the spectra of microwave networks simulating chaotic quantum graphs with violated time …

The famous question of Kac “can one hear the shape of a drum?” addressing the unique
connection between the shape of a planar region and the spectrum of the corresponding …

We study the statistical properties of the complex generalization of Wigner time delay τ W for
subunitary wave-chaotic scattering systems. We first demonstrate theoretically that the mean …

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 present experimental and numerical results for the long-range fluctuation properties in
the spectra of quantum graphs with chaotic classical dynamics and preserved time-reversal …

We identify the poles and zeros of the scattering matrix of a simple quantum graph by means
of systematic measurement and analysis of Wigner, transmission, and reflection complex …

We introduce a complex generalization of the Wigner time delay τ for subunitary scattering
systems. Theoretical expressions for complex time delays as a function of excitation energy …

One of the most important characteristics of a quantum graph is the average density of
resonances, ρ=(L/π), where L denotes the length of the graph. This is a very robust measure …

In a frequency range where a microwave resonator simulates a chaotic quantum billiard, we
have measured moduli and phases of reflection and transmission amplitudes in the regimes …