Luc Rey-Bellet studies a variety of problems in in statistical mechanics (both equilibrium and nonequilibrium). Among them are the physical and mathematical properties of non-equilibrium steady states; the theory of large deviaitions and its applications to physical systems (billiards and quantum systems); coarse-graining strategies and numerical schemes for lattice spin systems; evolutionary game theory.
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Entropic fluctuations in statistical mechanics: I. Classical dynamical systems (with V Jakšić and C-A Pillet), Nonlinearity (2011)
Within the abstract framework of dynamical system theory we describe a general approach to the...
A note on the non-commutative laplace–varadhan integral lemma (with W De Roeck, C Maes, and K Netocny), Reviews in Mathematical Physics (2010)
We continue the study of the free energy of quantum lattice spin systems where to...
Coarse-graining schemes for stochastic lattice systems with short and long-range interactions (with MA Katsoulakis, P Plechac, and D Tsagkarogiannis), Mathematics and Statistics Department Faculty Publication Series (2010)
We develop coarse-graining schemes for stochastic many-particle microscopic models with competing short- and long-range interactions...
Deterministic Equations for Stochastic Spatial Evolutionary Games (with SH Hwang and MA Katsoulakis), Mathematics and Statistics Department Faculty Publication Series (2010)
In this paper we investigate the approximation properties of the coarse-graining procedure applied to kinetic...
Ruelle-Lanford functions for quantum spin systems (with Y Ogata), Mathematics and Statistics Department Faculty Publication Series (2010)
We prove a large deviation principle for the expectation of macroscopic observables in quantum (and...