We consider a class of deterministic local collisional dynamics, showing how to approximate
them by means of stochastic models and then studying the fluctuations of the current of …

We study the class of open continuous-time mechanical particle systems introduced in the
paper by Khanin and Yarmola (2013 Commun. Math. Phys. 320 121–47). Using the discrete …

We investigate a class of Hamiltonian particle systems and their stochastic behaviors. Using
both rigorous proof and numerical simulations, we show that the geometric configuration can …

For renewal-reward processes with a power-law decaying waiting time distribution,
anomalously large probabilities are assigned to atypical values of the asymptotic processes …

We study the large deviations of sums of correlated random variables described by a matrix
product ansatz, which generalizes the product structure of independent random variables to …

In this thesis, we mainly study the finite-time behavior of anomalous fluctuations in heavy-
tailed renewal-reward processes. A heavy-tailed distribution produces rare events more …

In this thesis, we mainly study the finite-time behavior of anomalous fluctuations in
heavytailed renewal-reward processes. A heavy-tailed distribution produce more extream …

We report on the computation of the waiting time distributions of different model systems of
locally confined particles subject to rare hard-core interactions. These distributions are …

arXiv:1205.1634v1 [cond-mat.stat-mech] 8 May 2012 Page 1 MACROSCOPIC
FLUCTUATION THEORY OF LOCAL COLLISIONAL DYNAMICS RAPHAËL LEFEVERE …

This thesis contains three independent parts, each one of which is dedicated to the study of
a particle system, following either a deterministic or a stochastic dynamics, and in which …