Download this PDF file Fullscreen Fullscreen Off
References
- Andjel, Enrique D. A correlation inequality for the symmetric exclusion process. Ann. Probab. 16 (1988), no. 2, 717--721. MR0929073
- Bertini, L.; De Sole, A.; Gabrielli, D.; Jona-Lasinio, G.; Landim, C. Non equilibrium current fluctuations in stochastic lattice gases. J. Stat. Phys. 123 (2006), no. 2, 237--276. MR2227084
- Bodineau, T.; Derrida, B. Current large deviations for asymmetric exclusion processes with open boundaries. J. Stat. Phys. 123 (2006), no. 2, 277--300. MR2227085
- Bodineau, T.; Derrida, B.; Lebowitz, J. L. A diffusive system driven by a battery or by a smoothly varying field. J. Stat. Phys. 140 (2010), no. 4, 648--675. MR2670735
- Brassesco, S.; Presutti, E.; Sidoravicius, V.; Vares, M. E. Ergodicity of a Glauber + Kawasaki process with metastable states. Markov Process. Related Fields 6 (2000), no. 2, 181--203. MR1778754
- De Masi, Anna; Presutti, Errico. Mathematical methods for hydrodynamic limits. Lecture Notes in Mathematics, 1501. Springer-Verlag, Berlin, 1991. x+196 pp. ISBN: 3-540-55004-6 MR1175626
- De Masi, A.; Presutti, E.; Scacciatelli, E. The weakly asymmetric simple exclusion process. Ann. Inst. H. Poincaré Probab. Statist. 25 (1989), no. 1, 1--38. MR0995290
- A. De Masi, E. Presutti, D. Tsagkarogiannis, M.E. Vares (2011) Current reservoirs in the simple exclusion process, Jour. Stat. Phys. 144, 1151-1170.
- Derrida, B.; Lebowitz, J. L.; Speer, E. R. Large deviation of the density profile in the steady state of the open symmetric simple exclusion process. J. Statist. Phys. 107 (2002), no. 3-4, 599--634. MR1898851
- Ferrari, P. A.; Presutti, E.; Scacciatelli, E.; Vares, M. E. The symmetric simple exclusion process. I. Probability estimates. Stochastic Process. Appl. 39 (1991), no. 1, 89--105. MR1135087
- Galves, A.; Kipnis, C.; Marchioro, C.; Presutti, E. Nonequilibrium measures which exhibit a temperature gradient: study of a model. Comm. Math. Phys. 81 (1981), no. 1, 127--147. MR0630334
- Guo, M. Z.; Papanicolaou, G. C.; Varadhan, S. R. S. Nonlinear diffusion limit for a system with nearest neighbor interactions. Comm. Math. Phys. 118 (1988), no. 1, 31--59. MR0954674
- Lawler, Gregory F.; Limic, Vlada. Random walk: a modern introduction. Cambridge Studies in Advanced Mathematics, 123. Cambridge University Press, Cambridge, 2010. xii+364 pp. ISBN: 978-0-521-51918-2 MR2677157
- Liggett, Thomas M. Interacting particle systems. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 276. Springer-Verlag, New York, 1985. xv+488 pp. ISBN: 0-387-96069-4 MR0776231
- Liggett, Thomas M. Stochastic interacting systems: contact, voter and exclusion processes. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 324. Springer-Verlag, Berlin, 1999. xii+332 pp. ISBN: 3-540-65995-1 MR1717346
- Varadhan, S. R. S. Scaling limits for interacting diffusions. Comm. Math. Phys. 135 (1991), no. 2, 313--353. MR1087387

This work is licensed under a Creative Commons Attribution 3.0 License.