L. Bertini, A. De-sole, D. Gabrielli, G. Jona-lasinio, and C. Landim, Macroscopic Fluctuation Theory for stationary non-equilibrium states, Journal of Statistical Physics, vol.107, issue.3/4, p.635, 2002.
DOI : 10.1023/A:1014525911391

R. A. Blythe and M. R. Evans, Nonequilibrium steady states of matrix-product form: a solver's guide, Journal of Physics A: Mathematical and Theoretical, vol.40, issue.46, p.333, 2007.
DOI : 10.1088/1751-8113/40/46/R01

T. Bodineau and B. Derrida, Cumulants and large deviations of the current through non-equilibrium steady states, Comptes Rendus Physique, vol.8, issue.5-6, p.540, 2007.
DOI : 10.1016/j.crhy.2007.04.014

D. Chowdhury, A. Schadschneider, and K. Nishinari, Physics of transport and traffic phenomena in biology: from molecular motors and cells to organisms, Physics of Life Reviews, vol.2, issue.4, p.318, 2005.
DOI : 10.1016/j.plrev.2005.09.001

T. Chou, K. Mallick, and R. K. Zia, Non-equilibrium statistical mechanics: from a paradigmatic model to biological transport, Reports on Progress in Physics, vol.74, issue.11, p.116601, 2011.
DOI : 10.1088/0034-4885/74/11/116601

B. Derrida, Non-equilibrium steady states: fluctuations and large deviations of the density and of the current, Journal of Statistical Mechanics: Theory and Experiment, vol.2007, issue.07, 2007.
DOI : 10.1088/1742-5468/2007/07/P07023

B. Derrida, Microscopic versus macroscopic approaches to non-equilibrium systems, Journal of Statistical Mechanics: Theory and Experiment, vol.2011, issue.01, p.1030, 2011.
DOI : 10.1088/1742-5468/2011/01/P01030

B. Derrida, M. R. Evans, V. Hakim, and V. Pasquier, Exact solution of a 1D asymmetric exclusion model using a matrix formulation, Journal of Physics A: Mathematical and General, vol.26, issue.7, 1493.
DOI : 10.1088/0305-4470/26/7/011

B. Derrida and J. L. Lebowitz, Exact Large Deviation Function in the Asymmetric Exclusion Process, Physical Review Letters, vol.80, issue.2, p.209, 1998.
DOI : 10.1103/PhysRevLett.80.209

D. Dhar, An exactly solved model for interfacial growth, Phase Transitions, vol.9, p.51, 1987.

G. Gallavotti and E. G. Cohen, Dynamical Ensembles in Nonequilibrium Statistical Mechanics, Dynamical ensembles in non-equilibrium statistical mechanics, p.2694, 1995.
DOI : 10.1103/PhysRevLett.74.2694

O. Golinelli and K. Mallick, The asymmetric simple exclusion process: an integrable model for non-equilibrium statistical mechanics, Journal of Physics A: Mathematical and General, vol.39, issue.41, p.12679, 2006.
DOI : 10.1088/0305-4470/39/41/S03

M. Gorissen, A. Lazarescu, K. Mallick, and C. Vanderzande, Exact Current Statistics of the Asymmetric Simple Exclusion Process with Open Boundaries, Physical Review Letters, vol.109, issue.17, 2012.
DOI : 10.1103/PhysRevLett.109.170601

L. Gwa and H. Spohn, Bethe solution for the dynamical-scaling exponent of the noisy Burgers equation, Physical Review A, vol.46, issue.2, 1992.
DOI : 10.1103/PhysRevA.46.844

T. Halpin-healy and Y. Zhang, Kinetic roughening phenomena, stochastic growth, directed polymers and all that. Aspects of multidisciplinary statistical mechanics, Physics Reports, vol.254, issue.4-6, p.215, 1995.
DOI : 10.1016/0370-1573(94)00087-J

S. A. Janowski, J. L. Janowsky, and J. L. Lebowitz, Lebowitz, 1992 Finite size effects and Shock fluctuations in the asymmetric exclusion process, Phys. Rev. A J. Stat. Phys, vol.45, issue.35, 1994.

S. Katz, J. L. Lebowitz, and H. Spohn, Nonequilibrium steady states of stochastic lattice gas models of fast ionic conductors, Journal of Statistical Physics, vol.141, issue.3-4, p.497, 1984.
DOI : 10.1007/BF01018556

T. Kriecherbauer and J. Krug, A pedestrian's view on interacting particle systems, KPZ universality and random matrices, Journal of Physics A: Mathematical and Theoretical, vol.43, issue.40, p.403001, 2010.
DOI : 10.1088/1751-8113/43/40/403001

C. Macdonald, J. Gibbs, and A. Pipkin, Kinetics of biopolymerization on nucleic acid templates, Biopolymers, vol.51, issue.1, 1968.
DOI : 10.1002/bip.1968.360060102

C. Macdonald and J. Gibbs, Concerning the kinetics of polypeptide synthesis on polyribosomes, Biopolymers, vol.11, issue.5, p.707, 1969.
DOI : 10.1002/bip.1969.360070508

J. L. Lebowitz and H. Spohn, 1999 A Gallavotti-Cohen type symmetry in the large deviation functional for stochastic dynamics, Journal of Statistical Physics, vol.95, issue.1/2, p.333
DOI : 10.1023/A:1004589714161

S. Prolhac, Tree structures for the current fluctuations in the exclusion process, Journal of Physics A: Mathematical and Theoretical, vol.43, issue.10, 2010.
DOI : 10.1088/1751-8113/43/10/105002
URL : https://hal.archives-ouvertes.fr/hal-00796160

T. Sasamoto, Fluctuations of the one-dimensional asymmetric exclusion process using random matrix techniques, Journal of Statistical Mechanics: Theory and Experiment, vol.2007, issue.07, 2007.
DOI : 10.1088/1742-5468/2007/07/P07007

A. Schadschneider, D. Chowdhury, and K. , Nishinari Stochastic Transport in Complex Systems: From Molecules to Vehicles, 2011.

B. Schmittmann and R. K. Zia, Statistical mechanics of driven diffusive systems, Phase Transitions and Critical Phenomena, 1995.
DOI : 10.1016/S1062-7901(06)80014-5

H. Spohn, Large Scale Dynamics of Interacting Particles, 1991.
DOI : 10.1007/978-3-642-84371-6

H. Touchette, The large deviation approach to statistical mechanics, Physics Reports, vol.478, issue.1-3, 2009.
DOI : 10.1016/j.physrep.2009.05.002