Publications of Luc Rey-Bellet

  1. Ground states and low temperature expansion for a variant of the t-J model. Diplom Arbeit, Theoretische Physik, ETH Zürich. Under the guidance of Prof. Jürg Fröhlich. (1994).

  2. Low-temperature phase diagrams of quantum lattice systems. II. Convergent perturbation expansions and stability in systems with infinite degeneracy (with Nilanjana Datta, Jürg Fröhlich, and Roberto Fernandez). Helvetica Physica Acta 69, 752--820 (1996). PDF file

  3. Low-temperature phase diagrams of quantum lattice systems. III. Examples (with Jürg Fröhlich). Helvetica Physica Acta 69, 821--849 (1996). PDF file

  4. Markov processes and non-equilibrium statistical mechanics. Ph.D. Thesis in Mathematics, University of Geneva. Under the guidance of Prof. Jean-Pierre Eckmann (1998).

  5. Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures (with Jean-Pierre Eckmann and Claude-Alain Pillet). Communications in Mathematical Physics 201, 657--697 (1999). Reprint in PDF

  6. Entropy production in non-linear, thermally driven Hamiltonian systems (with Jean-Pierre Eckmann and Claude-Alain Pillet). Journal of Statistical Physics 95, 305--331 (1999). Reprint in PDF

  7. Asymptotic behavior of thermal non-equilibrium steady states for a driven chain of anharmonic oscillators (with Lawrence E. Thomas). Communications in Mathematical Physics 215, 1--24 (2000). Reprint in PDF

  8. Fourier Law: A challenge to theorists (with Federico Bonetto and Joel Lebowitz). In: Mathematical Physics 2000, A. Fokas, A. Grigoryan, T. Kibble, and B. Zegarlinski (Eds.) Imperial College Press, London 2000. PDF file

  9. Quantum lattice systems at intermediate temperature (with Jürg Fröhlich and Daniel Ueltschi). Communications in Mathematical Physics 224, 33--63 (2001). Reprint in PDF

  10. Exponential convergence to non-equilibrium stationary states in classical statistical mechanics (with Lawrence E. Thomas). Communications in Mathematical Physics 225, 305--329 (2002). Reprint in PDF

  11. Fluctuations of the entropy production in anharmonic chains (with Lawrence E. Thomas). Annales Henri Poincaré 3 483--502 (2002). Reprint in PDF

  12. Statistical mechanics of anharmonic lattices. In: Advances in Differential Equations and Mathematical Physics, AMS Contemporary Mathematics Series 327, 283--298 (2003). PDF file

  13. Low regularity solutions to a gently stochastic nonlinear wave equation in nonequilibrium statistical mechanics (with Lawrence E. Thomas). Stochastic Processes and their Applications. 115, 1041--1059 (2005). Reprint in PDF

  14. Large deviations in quantum lattice systems: one phase region (with Marco Lenci). Journal of Statistical Physics 119, 715--746 (2005). Reprint in PDF

  15. Nonequilibrium statistical mechanics of open classical systems. In: XIVth International Conference on Mathematical Physics, Lisbon, Portugal, 28 July -- 2 August 2003, World Scientific 2006. PDF file

  16. Ergodic Properties of Markov Processes. In Quantum Open Systems II. The Markovian approach. Stéphane Attal, Alain Joye, Claude-Alain Pillet (Eds.). Lecture Notes in Mathematics 1881, Berlin: Springer, 2006, pp. 1--39. Reprint in PDF

  17. Open Classical Systems. In: Quantum Open Systems II. The Markovian approach. Stéphane Attal, Alain Joye, Claude-Alain Pillet (Eds.). Lecture Notes in Mathematics 1881, Berlin: Springer, 2006, pp. 41--78. Reprint in PDF

  18. Fourier Law (with Federico Bonetto). In: Encyclopedia of Mathematical Physics. J.-P. Francoise, G. L. Naber, Tsou S.T. (Eds.) Elsevier 2006. Reprint in PDF

  19. Coarse-graining schemes and a posteriori error estimates for stochastic lattice systems (with Markos Katsoulakis, Petr Plecháč and Dimitrios Tsagkarogiannis). ESAIM: Mathematical Modelling and Numerical Analysis 41, 627--660 (2007). Reprint in PDF

  20. Mathematical strategies and error quantification in the coarse-graining of extensive systems (with Markos Katsoulakis, Petr Plecháč and Dimitrios Tsagkarogiannis). Journal of Non Newtonian Fluid Mechanics 152, 101--112 (2008). Reprint in PDF

  21. Large deviations in nonuniformly hyperbolic dynamical systems (with Lai-Sang Young). Ergodic Theory and Dynamical Systems 28, 587-612 (2008). Reprint in PDF

  22. Numerical and statistical methods for the coarse-graining of many-particle stochastic systems (with Markos Katsoulakis and Petr Plecháč). Journal of Scientific Computing 37 , 43--71 (2008). Reprint in PDF

  23. Multi-body interactions in coarse-graining schemes of extended systems (with Sasanka Are, Markos Katsoulakis , and Petr Plecháč). SIAM Journal on Scientific Computing 31 987-1015 (2008). Reprint in PDF

  24. A note on the non-commutative Laplace-Varadhan integral lemma (With Wojciech De Roeck, Christian Maes and Karel Netočný). Reviews in Mathematical Physics 22 , 839--858 (2010). Reprint in PDF

  25. Entropic fluctuations in statistical mechanics I. Classical dynamical systems (with Claude-Alain Pillet and Vojkan Jaksic). Nonlinearity 24 , 699-763 (2011). Reprint in PDF

  26. Ruelle-Lanford functions and large deviations for asymptotically decoupled quantum spin systems. (with Yoshiko Ogata). Reviews in Mathematical Physics 23 , 211--232 (2011). Reprint in PDF

  27. Absolute continuity of Brownian bridges under certain gauge transformations (with Andrea Nahmod, Scott Sheffield, and Gigliola Staffilani). Mathematical Research Letters 18 , 875--887 (2011). Reprint in PDF

  28. Decompositions of two player games: potential, zero-sum, and stable games (with Sung-Ha Hwang). Unpublished. arXiv:1106.3552 PDF file .

  29. Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS (with Andrea Nahmod, Hiro Oh, and Gigliola Staffilani). Journal of the European Mathematical Society 14 , 1275--1330 (2012). Reprint in PDF

  30. Deterministic equations for stochastic spatial evolutionary games (with Sung-Ha Hwang and Markos Katsoulakis). Theoretical Economics 8 , 829-874 (2013). Reprint in PDF

  31. Coarse-graining schemes for stochastic lattice systems with short and long-range interactions (with M. Katsoulakis, P. Plecháč and D. Tsagkarogiannis). Mathematics of Computation 83, 288, 1757--1793 (2014). Reprint in PDF

  32. Measuring the irreversibility of numerical schemes for reversible stochastic differential equations (with Markos Katsoulakis and Yannis Pantazis). ESAIM: Mathematical Modelling and Numerical Analysis 48 , 1351--1379 (2014). Reprint in PDF .

  33. Irreversible Langevin samplers and variance reduction: a large deviation approach (with Konstantinos Spiliopoulos). Nonlinearity 28 , 2081-2103, (2015). Reprint in PDF

  34. Variance reduction for irreversible Langevin samplers and diffusion on graphs (with Konstantinos Spiliopoulos). Electronic Communications in Probability 20, Article 15, 1--16 (2015). Reprint in PDF

  35. Strategic decompositions of normal form games: potential games and zero-sum games (with Sung-Ha Hwang). Submitted. arXiv:1602.06648 PDF file .

  36. Simple characterizations of potential games and zero-sum games (with Sung-Ha Hwang). Submitted. arXiv:1602.04410 PDF file .

  37. Information metrics for long-time errors in splitting schemes for stochastic dynamics and parallel kinetic Monte Carlo (with Konstantinos Gourgoulias and Markos Katsoulakis). SIAM Journal on Scientific Computing 38 , No. 6, A3808--A3832 (2016). Reprint in PDF

  38. Efficient estimators for likelihood ratio sensitivity indices of complex stochastic dynamics (with Georgios Arampatzis and Markos Katsoulakis). Journal of Chemical Physics 144, 104107 (2016). Reprint in PDF

  39. Improving the convergence of reversible samplers (with Konstantinos Spiliopoulos). Journal of Statistical Physics 164, 472--494 (2016). Reprint in PDF

  40. Uncertainty quantification for generalized Langevin dynamics (with Eric Hall and Markos Katsoulakis). Journal of Chemical Physics 145, 224108 (2016). Reprint in PDF

  41. Information criteria for quantifying loss of reversibility in parallelized KMC (with Konstantinos Gourgoulias and Markos Katsoulakis). Journal of Computational Physics 328, 438--454 (2017). Reprint in PDF

  42. Scalable information inequalities for uncertainty quantification. (with Markos Katsoulakis and Jie Wang). Journal of Computational Physics 336, 513--545 (2017) Reprint in PDF

  43. Positive feedback in coordination games: stochastic evolutionary dynamics and the logit choice rule (with S.-H. Hwang). Submitted. arXiv:1701.04870 PDF file