Graph theory is now becoming a standard tool in system-level neuroscience. However,
endowing observed brain anatomy and dynamics with a complex network structure does not …

In this review work, we outline a conceptual path that, starting from the numerical
investigation of the transition between weak chaos and strong chaos in Hamiltonian systems …

In this paper, a geometrical and thermodynamical analysis of the global properties of the
potential energy landscape of a minimalistic model of a polypeptide is presented. The global …

We develop a geometric theory of phase transitions (PTs) for Hamiltonian systems in the
microcanonical ensemble. Such a theory allows to rephrase the Bachmann's classification of …

Recent investigations have demonstrated that the origin of phase transitions may be
explained by particular changes in the geometry of hypersurfaces, specifically Hamiltonian …

In the present thesis, we study various instances of many-body systems, both quantum and
classical, adopting an overall geometrical and topological perspective. Systems with many …

Resorting to microcanonical ensemble Monte Carlo simulations, we study the geometric and
topological properties of the state space of a model of network glass-former. This model, a …