Using Gutzwiller's semiclassical periodic-orbit theory, we demonstrate universal behavior of
the two-point correlator of the density of levels for quantum systems whose classical limit is …

We describe a semiclassical method to calculate universal transport properties of chaotic
cavities. While the energy-averaged conductance turns out governed by pairs of entrance-to …

We show by direct calculation that the replica and cavity methods are exactly equivalent for
the spectrum of an Erdős-Rényi random graph. We introduce a variational formulation based …

The addition of tunnel barriers to open chaotic systems, as well as representing more
general physical systems, leads to a much richer semiclassical dynamics. In particular, we …

We derive semiclassical periodic orbit expansions for a correlation function of the Wigner
time delay. We consider the Fourier transform of the two-point correlation function, the form …

We investigate adjacency matrices of bipartite graphs with a power-law degree distribution.
Motivation for this study is twofold: first, vibrational states in granular matter and jammed …

Motivated by the statistical fluctuation of Dirac spectrum of QCD-like theories subjected to
(pseudo) reality-violating perturbations and in the ε regime, we compute the smallest …

During the last decades, semiclassical techniques for single particle systems have been
successfully developed, to the point that they describe the universal and reproducible …

We address the quantum-classical correspondence for chaotic systems with a crossover
between symmetry classes. We consider the energy-level statistics of a classically chaotic …

The thesis addresses the fundamental interplay between indistinguishability and
interactions in few-and many-body quantum systems, treated in two separate approaches …