Based on the geometrization of dynamics and self-consistent phonon theory, we develop an
analytical approach to derive the Lyapunov time, the reciprocal of the largest Lyapunov …

We revisit the role of discreteness and chaos in the dynamics of self-gravitating systems by
means of N-body simulations with active and frozen potentials, starting from spherically …

We study the thermodynamic properties of a one-dimensional gas with one-dimensional
gravitational interactions. Periodic boundary conditions are implemented as a modification …

We present an effective evolution equation for a coarse-grained distribution function of a
long-range-interacting system preserving the symplectic structure of the noncollisional …

The statement that Gibbs equilibrium ensembles are equivalent is a base line in many
approaches in the context of equilibrium statistical mechanics. However, as a known fact, for …

An open question in nonlinear dynamics is the relation between the Kolmogorov entropy
and the largest Lyapunov exponent of a given orbit. Both have been shown to have …

The thesis is divided in two parts, corresponding to the two main subjects on which I have
worked during my PhD. In the first Part, we introduce many-body long-range interacting …

Equilibrium Statistical Mechanics is undoubtedly a cornerstone for the description of many
particle systems. The common interpretation is based on ensemble theory as put forward by …