The theory of large deviations is concerned with the exponential decay of probabilities of
large fluctuations in random systems. These probabilities are important in many fields of …

For systems with long-range interactions, the two-body potential decays at large distances
as V (r)∼ 1/rα, with α≤ d, where d is the space dimension. Examples are: gravitational …

This book deals with an important class of many-body systems: those where the interaction
potential decays slowly for large inter-particle distances; in particular, systems where the …

Equilibrium phase transitions may be defined as nonanalytic points of thermodynamic
functions, eg, of the canonical free energy. Given a certain physical system, it is of interest to …

This work explores fundamental statistical and thermodynamic properties of short-and long-
range-interacting systems. The purpose of this study is twofold. Firstly, we rigorously prove …

Motivated by the anisotropic long-range nature of the interactions between cold dipolar
atoms or molecules in an optical lattice, we study the anisotropic quantum Heisenberg …

We study stochastic processes in which the trajectories are constrained so that the process
realises a large deviation of the unconstrained process. In particular we consider stochastic …

We consider a classical system of $ N $ particles confined in a harmonic trap in one
dimension. The pairwise interaction potential between two particles separated by a distance …

In nonadditive systems, like small systems or like long-range interacting systems even in the
thermodynamic limit, ensemble inequivalence can be related to the occurrence of negative …

The relation between saddle points of the potential of a classical many-particle system and
the analyticity properties of its Boltzmann entropy is studied. For finite systems, each saddle …