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Luc Rey-Bellet, Associate Professor |
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| Personal Webpage |
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| Office | LGRT 1423J | | Phone | (413) 545-6020 | | Fax | (413) 545-1801 | | Email | luc <at> math.umass.edu | |
| Mailing Address |
| Department of Mathematics and Statistics |
| Lederle Graduate Research Tower |
| University of Massachusetts |
| Amherst, MA 01003-9305 |
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| Office Hours: Tu 10:30--12:00, Th 2:45--4:00 |
| Courses |
| Evolutionary Game Theory |
| Math 697EG (TuTh 1:00 - 2:15 pm, LGRT 115) | | |
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| Education | | Ph.D. | University of Geneva, 1998 |
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| Research Interests: Probability and mathematical physics |
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| 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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| Selected Publications |
| Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures (with C.-A. Pillet and J.-P. Eckmann). Commun. Math. Phys. 201, 657-697 (1999). |
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| Exponential convergence to non-equilibrium stationary states in classical statistical mechanics (with L.E. Thomas). Commun. Math. Phys. 225, 305-329 (2002). |
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| Fluctuations of the entropy production in anharmonic chains (with L.E. Thomas). Ann. Henri Poinc. 3 483-502 (2002). |
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| Low regularity solutions to a gently stochastic nonlinear wave equation in nonequilibrium statistical mechanics (with L.E. Thomas). Stochastic Process. Appl. 115, 1041-1059 (2005). |
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| Large deviations in quantum lattice systems: One Phase Region (with M. Lenci). J. Stat. Phys. 119 , 715-746 (2005). |
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| Coarse-graining schemes and a posteriori error estimates for stochastic lattice systems (with M. Katsoulakis, P. Plechac, and D. Tsagkarogiannis). ESAIM: Mathematical Modelling and Numerical Analysis 41, 627--660 (2007). |
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| Large deviations in nonuniformly hyperbolic dynamical systems (with L.-S. Young). Ergodic Theory and Dynamical Systems 28 , 587-612 (2008). |
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